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Finding the Fourth Proportional to 7,115.74, 9,824.57 and 4,603.93

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Solution

The fourth proportional to 7,115.74, 9,824.57 and 4,603.93 is: 6,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.74 : 9,824.57 = 4,603.93 : x
  2. Step 2: Convert to fraction form
    7,115.74/9,824.57 = 4,603.93/x
  3. Step 3: Cross multiply
    7,115.74x = 9,824.57 × 4,603.93
  4. Step 4: Simplify right side
    7,115.74x = 45,231,632.56
  5. Step 5: Solve for x
    x = 45,231,632.56/7,115.74
  6. Step 6: Final answer
    x = 6,356.56

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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.