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Finding the Fourth Proportional to 9,697.68, 14,549.94 and 5,995.62

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Solution

The fourth proportional to 9,697.68, 14,549.94 and 5,995.62 is: 8,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.68 : 14,549.94 = 5,995.62 : x
  2. Step 2: Convert to fraction form
    9,697.68/14,549.94 = 5,995.62/x
  3. Step 3: Cross multiply
    9,697.68x = 14,549.94 × 5,995.62
  4. Step 4: Simplify right side
    9,697.68x = 87,235,911.26
  5. Step 5: Solve for x
    x = 87,235,911.26/9,697.68
  6. Step 6: Final answer
    x = 8,995.54

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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.