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Finding the Fourth Proportional to 6,931.48, 9,565.02 and 3,787.48

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Solution

The fourth proportional to 6,931.48, 9,565.02 and 3,787.48 is: 5,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.48 : 9,565.02 = 3,787.48 : x
  2. Step 2: Convert to fraction form
    6,931.48/9,565.02 = 3,787.48/x
  3. Step 3: Cross multiply
    6,931.48x = 9,565.02 × 3,787.48
  4. Step 4: Simplify right side
    6,931.48x = 36,227,321.95
  5. Step 5: Solve for x
    x = 36,227,321.95/6,931.48
  6. Step 6: Final answer
    x = 5,226.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.