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Finding the Fourth Proportional to 9,041.92, 13,562.88 and 6,854.56

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Solution

The fourth proportional to 9,041.92, 13,562.88 and 6,854.56 is: 10,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.92 : 13,562.88 = 6,854.56 : x
  2. Step 2: Convert to fraction form
    9,041.92/13,562.88 = 6,854.56/x
  3. Step 3: Cross multiply
    9,041.92x = 13,562.88 × 6,854.56
  4. Step 4: Simplify right side
    9,041.92x = 92,967,574.73
  5. Step 5: Solve for x
    x = 92,967,574.73/9,041.92
  6. Step 6: Final answer
    x = 10,281.84

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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.