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Finding the Fourth Proportional to 9,652.32, 14,468.13 and 6,319.31

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Solution

The fourth proportional to 9,652.32, 14,468.13 and 6,319.31 is: 9,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 14,468.13 = 6,319.31 : x
  2. Step 2: Convert to fraction form
    9,652.32/14,468.13 = 6,319.31/x
  3. Step 3: Cross multiply
    9,652.32x = 14,468.13 × 6,319.31
  4. Step 4: Simplify right side
    9,652.32x = 91,428,526.25
  5. Step 5: Solve for x
    x = 91,428,526.25/9,652.32
  6. Step 6: Final answer
    x = 9,472.18

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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.