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Finding the Fourth Proportional to 9,657, 13,327.47 and 6,118.92

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Solution

The fourth proportional to 9,657, 13,327.47 and 6,118.92 is: 8,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657 : 13,327.47 = 6,118.92 : x
  2. Step 2: Convert to fraction form
    9,657/13,327.47 = 6,118.92/x
  3. Step 3: Cross multiply
    9,657x = 13,327.47 × 6,118.92
  4. Step 4: Simplify right side
    9,657x = 81,549,722.73
  5. Step 5: Solve for x
    x = 81,549,722.73/9,657
  6. Step 6: Final answer
    x = 8,444.62

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Double scale
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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.