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Finding the Fourth Proportional to 8,017.32, 12,025.64 and 7,829.61

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Solution

The fourth proportional to 8,017.32, 12,025.64 and 7,829.61 is: 11,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.32 : 12,025.64 = 7,829.61 : x
  2. Step 2: Convert to fraction form
    8,017.32/12,025.64 = 7,829.61/x
  3. Step 3: Cross multiply
    8,017.32x = 12,025.64 × 7,829.61
  4. Step 4: Simplify right side
    8,017.32x = 94,156,071.20
  5. Step 5: Solve for x
    x = 94,156,071.20/8,017.32
  6. Step 6: Final answer
    x = 11,744.08

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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.