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Finding the Fourth Proportional to 10,490.92, 14,476.92 and 5,774.30

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Solution

The fourth proportional to 10,490.92, 14,476.92 and 5,774.30 is: 7,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.92 : 14,476.92 = 5,774.30 : x
  2. Step 2: Convert to fraction form
    10,490.92/14,476.92 = 5,774.30/x
  3. Step 3: Cross multiply
    10,490.92x = 14,476.92 × 5,774.30
  4. Step 4: Simplify right side
    10,490.92x = 83,594,079.16
  5. Step 5: Solve for x
    x = 83,594,079.16/10,490.92
  6. Step 6: Final answer
    x = 7,968.23

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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.