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Finding the Fourth Proportional to 9,257.66, 13,869.04 and 4,572.18

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Solution

The fourth proportional to 9,257.66, 13,869.04 and 4,572.18 is: 6,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.66 : 13,869.04 = 4,572.18 : x
  2. Step 2: Convert to fraction form
    9,257.66/13,869.04 = 4,572.18/x
  3. Step 3: Cross multiply
    9,257.66x = 13,869.04 × 4,572.18
  4. Step 4: Simplify right side
    9,257.66x = 63,411,747.31
  5. Step 5: Solve for x
    x = 63,411,747.31/9,257.66
  6. Step 6: Final answer
    x = 6,849.65

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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.