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Finding the Fourth Proportional to 9,700.24, 14,552.48 and 5,542.24

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Solution

The fourth proportional to 9,700.24, 14,552.48 and 5,542.24 is: 8,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.24 : 14,552.48 = 5,542.24 : x
  2. Step 2: Convert to fraction form
    9,700.24/14,552.48 = 5,542.24/x
  3. Step 3: Cross multiply
    9,700.24x = 14,552.48 × 5,542.24
  4. Step 4: Simplify right side
    9,700.24x = 80,653,336.76
  5. Step 5: Solve for x
    x = 80,653,336.76/9,700.24
  6. Step 6: Final answer
    x = 8,314.57

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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.