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Finding the Fourth Proportional to 9,597.42, 14,396.16 and 5,699.70

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Solution

The fourth proportional to 9,597.42, 14,396.16 and 5,699.70 is: 8,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 14,396.16 = 5,699.70 : x
  2. Step 2: Convert to fraction form
    9,597.42/14,396.16 = 5,699.70/x
  3. Step 3: Cross multiply
    9,597.42x = 14,396.16 × 5,699.70
  4. Step 4: Simplify right side
    9,597.42x = 82,053,793.15
  5. Step 5: Solve for x
    x = 82,053,793.15/9,597.42
  6. Step 6: Final answer
    x = 8,549.57

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.