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Finding the Fourth Proportional to 7,158.16, 9,896.02 and 7,092.52

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Solution

The fourth proportional to 7,158.16, 9,896.02 and 7,092.52 is: 9,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.16 : 9,896.02 = 7,092.52 : x
  2. Step 2: Convert to fraction form
    7,158.16/9,896.02 = 7,092.52/x
  3. Step 3: Cross multiply
    7,158.16x = 9,896.02 × 7,092.52
  4. Step 4: Simplify right side
    7,158.16x = 70,187,719.77
  5. Step 5: Solve for x
    x = 70,187,719.77/7,158.16
  6. Step 6: Final answer
    x = 9,805.27

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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.