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Finding the Fourth Proportional to 10,510.97, 14,497.99 and 8,928.23

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Solution

The fourth proportional to 10,510.97, 14,497.99 and 8,928.23 is: 12,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.97 : 14,497.99 = 8,928.23 : x
  2. Step 2: Convert to fraction form
    10,510.97/14,497.99 = 8,928.23/x
  3. Step 3: Cross multiply
    10,510.97x = 14,497.99 × 8,928.23
  4. Step 4: Simplify right side
    10,510.97x = 129,441,294.45
  5. Step 5: Solve for x
    x = 129,441,294.45/10,510.97
  6. Step 6: Final answer
    x = 12,314.88

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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.