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Finding the Fourth Proportional to 9,597.76, 14,396.65 and 6,325.47

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Solution

The fourth proportional to 9,597.76, 14,396.65 and 6,325.47 is: 9,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.76 : 14,396.65 = 6,325.47 : x
  2. Step 2: Convert to fraction form
    9,597.76/14,396.65 = 6,325.47/x
  3. Step 3: Cross multiply
    9,597.76x = 14,396.65 × 6,325.47
  4. Step 4: Simplify right side
    9,597.76x = 91,065,474.06
  5. Step 5: Solve for x
    x = 91,065,474.06/9,597.76
  6. Step 6: Final answer
    x = 9,488.20

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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.