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Finding the Fourth Proportional to 9,257.07, 12,774.72 and 5,008.13

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Solution

The fourth proportional to 9,257.07, 12,774.72 and 5,008.13 is: 6,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.07 : 12,774.72 = 5,008.13 : x
  2. Step 2: Convert to fraction form
    9,257.07/12,774.72 = 5,008.13/x
  3. Step 3: Cross multiply
    9,257.07x = 12,774.72 × 5,008.13
  4. Step 4: Simplify right side
    9,257.07x = 63,977,490.41
  5. Step 5: Solve for x
    x = 63,977,490.41/9,257.07
  6. Step 6: Final answer
    x = 6,911.20

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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.