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Finding the Fourth Proportional to 7,598.38, 10,488.30 and 4,454.50

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Solution

The fourth proportional to 7,598.38, 10,488.30 and 4,454.50 is: 6,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.38 : 10,488.30 = 4,454.50 : x
  2. Step 2: Convert to fraction form
    7,598.38/10,488.30 = 4,454.50/x
  3. Step 3: Cross multiply
    7,598.38x = 10,488.30 × 4,454.50
  4. Step 4: Simplify right side
    7,598.38x = 46,720,132.35
  5. Step 5: Solve for x
    x = 46,720,132.35/7,598.38
  6. Step 6: Final answer
    x = 6,148.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.