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Finding the Fourth Proportional to 8,742.70, 12,065 and 4,763.83

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Solution

The fourth proportional to 8,742.70, 12,065 and 4,763.83 is: 6,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.70 : 12,065 = 4,763.83 : x
  2. Step 2: Convert to fraction form
    8,742.70/12,065 = 4,763.83/x
  3. Step 3: Cross multiply
    8,742.70x = 12,065 × 4,763.83
  4. Step 4: Simplify right side
    8,742.70x = 57,475,608.95
  5. Step 5: Solve for x
    x = 57,475,608.95/8,742.70
  6. Step 6: Final answer
    x = 6,574.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.