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Finding the Fourth Proportional to 7,657.95, 10,567.18 and 4,301.14

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Solution

The fourth proportional to 7,657.95, 10,567.18 and 4,301.14 is: 5,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.95 : 10,567.18 = 4,301.14 : x
  2. Step 2: Convert to fraction form
    7,657.95/10,567.18 = 4,301.14/x
  3. Step 3: Cross multiply
    7,657.95x = 10,567.18 × 4,301.14
  4. Step 4: Simplify right side
    7,657.95x = 45,450,920.59
  5. Step 5: Solve for x
    x = 45,450,920.59/7,657.95
  6. Step 6: Final answer
    x = 5,935.13

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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.