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Finding the Fourth Proportional to 9,256.92, 12,774.75 and 5,065.17

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Solution

The fourth proportional to 9,256.92, 12,774.75 and 5,065.17 is: 6,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.92 : 12,774.75 = 5,065.17 : x
  2. Step 2: Convert to fraction form
    9,256.92/12,774.75 = 5,065.17/x
  3. Step 3: Cross multiply
    9,256.92x = 12,774.75 × 5,065.17
  4. Step 4: Simplify right side
    9,256.92x = 64,706,280.46
  5. Step 5: Solve for x
    x = 64,706,280.46/9,256.92
  6. Step 6: Final answer
    x = 6,990.04

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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.