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Finding the Fourth Proportional to 10,462.86, 15,694.23 and 6,570

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Solution

The fourth proportional to 10,462.86, 15,694.23 and 6,570 is: 9,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.86 : 15,694.23 = 6,570 : x
  2. Step 2: Convert to fraction form
    10,462.86/15,694.23 = 6,570/x
  3. Step 3: Cross multiply
    10,462.86x = 15,694.23 × 6,570
  4. Step 4: Simplify right side
    10,462.86x = 103,111,091.10
  5. Step 5: Solve for x
    x = 103,111,091.10/10,462.86
  6. Step 6: Final answer
    x = 9,854.96

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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.