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Finding the Fourth Proportional to 8,032.70, 12,059.85 and 5,116.70

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Solution

The fourth proportional to 8,032.70, 12,059.85 and 5,116.70 is: 7,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.70 : 12,059.85 = 5,116.70 : x
  2. Step 2: Convert to fraction form
    8,032.70/12,059.85 = 5,116.70/x
  3. Step 3: Cross multiply
    8,032.70x = 12,059.85 × 5,116.70
  4. Step 4: Simplify right side
    8,032.70x = 61,706,634.50
  5. Step 5: Solve for x
    x = 61,706,634.50/8,032.70
  6. Step 6: Final answer
    x = 7,681.93

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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.