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Finding the Fourth Proportional to 8,585.70, 12,866.40 and 3,385.50

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Solution

The fourth proportional to 8,585.70, 12,866.40 and 3,385.50 is: 5,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.70 : 12,866.40 = 3,385.50 : x
  2. Step 2: Convert to fraction form
    8,585.70/12,866.40 = 3,385.50/x
  3. Step 3: Cross multiply
    8,585.70x = 12,866.40 × 3,385.50
  4. Step 4: Simplify right side
    8,585.70x = 43,559,197.20
  5. Step 5: Solve for x
    x = 43,559,197.20/8,585.70
  6. Step 6: Final answer
    x = 5,073.46

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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.