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Finding the Fourth Proportional to 7,023.37, 9,691.43 and 4,040.16

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Solution

The fourth proportional to 7,023.37, 9,691.43 and 4,040.16 is: 5,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.37 : 9,691.43 = 4,040.16 : x
  2. Step 2: Convert to fraction form
    7,023.37/9,691.43 = 4,040.16/x
  3. Step 3: Cross multiply
    7,023.37x = 9,691.43 × 4,040.16
  4. Step 4: Simplify right side
    7,023.37x = 39,154,948.53
  5. Step 5: Solve for x
    x = 39,154,948.53/7,023.37
  6. Step 6: Final answer
    x = 5,574.95

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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.