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Finding the Fourth Proportional to 7,452.14, 10,294.45 and 7,058.48

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Solution

The fourth proportional to 7,452.14, 10,294.45 and 7,058.48 is: 9,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.14 : 10,294.45 = 7,058.48 : x
  2. Step 2: Convert to fraction form
    7,452.14/10,294.45 = 7,058.48/x
  3. Step 3: Cross multiply
    7,452.14x = 10,294.45 × 7,058.48
  4. Step 4: Simplify right side
    7,452.14x = 72,663,177.53
  5. Step 5: Solve for x
    x = 72,663,177.53/7,452.14
  6. Step 6: Final answer
    x = 9,750.64

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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.