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Finding the Fourth Proportional to 8,359.62, 12,465.74 and 8,284.66

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Solution

The fourth proportional to 8,359.62, 12,465.74 and 8,284.66 is: 12,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.62 : 12,465.74 = 8,284.66 : x
  2. Step 2: Convert to fraction form
    8,359.62/12,465.74 = 8,284.66/x
  3. Step 3: Cross multiply
    8,359.62x = 12,465.74 × 8,284.66
  4. Step 4: Simplify right side
    8,359.62x = 103,274,417.55
  5. Step 5: Solve for x
    x = 103,274,417.55/8,359.62
  6. Step 6: Final answer
    x = 12,353.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.