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Finding the Fourth Proportional to 10,543.40, 15,815.10 and 10,057.40

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Solution

The fourth proportional to 10,543.40, 15,815.10 and 10,057.40 is: 15,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.40 : 15,815.10 = 10,057.40 : x
  2. Step 2: Convert to fraction form
    10,543.40/15,815.10 = 10,057.40/x
  3. Step 3: Cross multiply
    10,543.40x = 15,815.10 × 10,057.40
  4. Step 4: Simplify right side
    10,543.40x = 159,058,786.74
  5. Step 5: Solve for x
    x = 159,058,786.74/10,543.40
  6. Step 6: Final answer
    x = 15,086.10

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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.