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Finding the Fourth Proportional to 6,292.50, 9,422.28 and 5,302.68

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Solution

The fourth proportional to 6,292.50, 9,422.28 and 5,302.68 is: 7,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.50 : 9,422.28 = 5,302.68 : x
  2. Step 2: Convert to fraction form
    6,292.50/9,422.28 = 5,302.68/x
  3. Step 3: Cross multiply
    6,292.50x = 9,422.28 × 5,302.68
  4. Step 4: Simplify right side
    6,292.50x = 49,963,335.71
  5. Step 5: Solve for x
    x = 49,963,335.71/6,292.50
  6. Step 6: Final answer
    x = 7,940.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.