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Finding the Fourth Proportional to 9,641.64, 14,465.52 and 5,938.74

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Solution

The fourth proportional to 9,641.64, 14,465.52 and 5,938.74 is: 8,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.64 : 14,465.52 = 5,938.74 : x
  2. Step 2: Convert to fraction form
    9,641.64/14,465.52 = 5,938.74/x
  3. Step 3: Cross multiply
    9,641.64x = 14,465.52 × 5,938.74
  4. Step 4: Simplify right side
    9,641.64x = 85,906,962.24
  5. Step 5: Solve for x
    x = 85,906,962.24/9,641.64
  6. Step 6: Final answer
    x = 8,909.99

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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.