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Finding the Fourth Proportional to 9,677.61, 14,494.68 and 8,411.94

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Solution

The fourth proportional to 9,677.61, 14,494.68 and 8,411.94 is: 12,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.61 : 14,494.68 = 8,411.94 : x
  2. Step 2: Convert to fraction form
    9,677.61/14,494.68 = 8,411.94/x
  3. Step 3: Cross multiply
    9,677.61x = 14,494.68 × 8,411.94
  4. Step 4: Simplify right side
    9,677.61x = 121,928,378.48
  5. Step 5: Solve for x
    x = 121,928,378.48/9,677.61
  6. Step 6: Final answer
    x = 12,599.02

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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.