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Finding the Fourth Proportional to 7,158.24, 9,883.08 and 5,037.12

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Solution

The fourth proportional to 7,158.24, 9,883.08 and 5,037.12 is: 6,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.24 : 9,883.08 = 5,037.12 : x
  2. Step 2: Convert to fraction form
    7,158.24/9,883.08 = 5,037.12/x
  3. Step 3: Cross multiply
    7,158.24x = 9,883.08 × 5,037.12
  4. Step 4: Simplify right side
    7,158.24x = 49,782,259.93
  5. Step 5: Solve for x
    x = 49,782,259.93/7,158.24
  6. Step 6: Final answer
    x = 6,954.54

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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.