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Finding the Fourth Proportional to 10,594.14, 15,916.02 and 9,995.70

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Solution

The fourth proportional to 10,594.14, 15,916.02 and 9,995.70 is: 15,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.14 : 15,916.02 = 9,995.70 : x
  2. Step 2: Convert to fraction form
    10,594.14/15,916.02 = 9,995.70/x
  3. Step 3: Cross multiply
    10,594.14x = 15,916.02 × 9,995.70
  4. Step 4: Simplify right side
    10,594.14x = 159,091,761.11
  5. Step 5: Solve for x
    x = 159,091,761.11/10,594.14
  6. Step 6: Final answer
    x = 15,016.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.