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Finding the Fourth Proportional to 9,392.52, 12,963.60 and 6,416.58

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Solution

The fourth proportional to 9,392.52, 12,963.60 and 6,416.58 is: 8,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.52 : 12,963.60 = 6,416.58 : x
  2. Step 2: Convert to fraction form
    9,392.52/12,963.60 = 6,416.58/x
  3. Step 3: Cross multiply
    9,392.52x = 12,963.60 × 6,416.58
  4. Step 4: Simplify right side
    9,392.52x = 83,181,976.49
  5. Step 5: Solve for x
    x = 83,181,976.49/9,392.52
  6. Step 6: Final answer
    x = 8,856.19

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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.