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Finding the Fourth Proportional to 8,742.75, 12,065.07 and 4,763.76

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Solution

The fourth proportional to 8,742.75, 12,065.07 and 4,763.76 is: 6,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.75 : 12,065.07 = 4,763.76 : x
  2. Step 2: Convert to fraction form
    8,742.75/12,065.07 = 4,763.76/x
  3. Step 3: Cross multiply
    8,742.75x = 12,065.07 × 4,763.76
  4. Step 4: Simplify right side
    8,742.75x = 57,475,074.04
  5. Step 5: Solve for x
    x = 57,475,074.04/8,742.75
  6. Step 6: Final answer
    x = 6,574.03

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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.