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Finding the Fourth Proportional to 9,657.59, 14,486.39 and 4,462.79

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Solution

The fourth proportional to 9,657.59, 14,486.39 and 4,462.79 is: 6,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.59 : 14,486.39 = 4,462.79 : x
  2. Step 2: Convert to fraction form
    9,657.59/14,486.39 = 4,462.79/x
  3. Step 3: Cross multiply
    9,657.59x = 14,486.39 × 4,462.79
  4. Step 4: Simplify right side
    9,657.59x = 64,649,694.11
  5. Step 5: Solve for x
    x = 64,649,694.11/9,657.59
  6. Step 6: Final answer
    x = 6,694.19

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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.