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Finding the Fourth Proportional to 10,700.76, 15,980.03 and 10,584.92

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Solution

The fourth proportional to 10,700.76, 15,980.03 and 10,584.92 is: 15,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.76 : 15,980.03 = 10,584.92 : x
  2. Step 2: Convert to fraction form
    10,700.76/15,980.03 = 10,584.92/x
  3. Step 3: Cross multiply
    10,700.76x = 15,980.03 × 10,584.92
  4. Step 4: Simplify right side
    10,700.76x = 169,147,339.15
  5. Step 5: Solve for x
    x = 169,147,339.15/10,700.76
  6. Step 6: Final answer
    x = 15,807.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.