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Finding the Fourth Proportional to 6,325.47, 9,488.18 and 1,708.47

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Solution

The fourth proportional to 6,325.47, 9,488.18 and 1,708.47 is: 2,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.47 : 9,488.18 = 1,708.47 : x
  2. Step 2: Convert to fraction form
    6,325.47/9,488.18 = 1,708.47/x
  3. Step 3: Cross multiply
    6,325.47x = 9,488.18 × 1,708.47
  4. Step 4: Simplify right side
    6,325.47x = 16,210,249.30
  5. Step 5: Solve for x
    x = 16,210,249.30/6,325.47
  6. Step 6: Final answer
    x = 2,562.70

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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.