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Finding the Fourth Proportional to 9,854.76, 13,601.84 and 6,498.16

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Solution

The fourth proportional to 9,854.76, 13,601.84 and 6,498.16 is: 8,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.76 : 13,601.84 = 6,498.16 : x
  2. Step 2: Convert to fraction form
    9,854.76/13,601.84 = 6,498.16/x
  3. Step 3: Cross multiply
    9,854.76x = 13,601.84 × 6,498.16
  4. Step 4: Simplify right side
    9,854.76x = 88,386,932.61
  5. Step 5: Solve for x
    x = 88,386,932.61/9,854.76
  6. Step 6: Final answer
    x = 8,968.96

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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.