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Finding the Fourth Proportional to 7,115.49, 9,824.24 and 4,603.68

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Solution

The fourth proportional to 7,115.49, 9,824.24 and 4,603.68 is: 6,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.49 : 9,824.24 = 4,603.68 : x
  2. Step 2: Convert to fraction form
    7,115.49/9,824.24 = 4,603.68/x
  3. Step 3: Cross multiply
    7,115.49x = 9,824.24 × 4,603.68
  4. Step 4: Simplify right side
    7,115.49x = 45,227,657.20
  5. Step 5: Solve for x
    x = 45,227,657.20/7,115.49
  6. Step 6: Final answer
    x = 6,356.23

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1.5x scale

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.