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Finding the Fourth Proportional to 9,292.52, 12,824.31 and 5,259.35

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Solution

The fourth proportional to 9,292.52, 12,824.31 and 5,259.35 is: 7,258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.52 : 12,824.31 = 5,259.35 : x
  2. Step 2: Convert to fraction form
    9,292.52/12,824.31 = 5,259.35/x
  3. Step 3: Cross multiply
    9,292.52x = 12,824.31 × 5,259.35
  4. Step 4: Simplify right side
    9,292.52x = 67,447,534.80
  5. Step 5: Solve for x
    x = 67,447,534.80/9,292.52
  6. Step 6: Final answer
    x = 7,258.26

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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.