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Finding the Fourth Proportional to 4,713.10, 6,487.74 and 4,074.74

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Solution

The fourth proportional to 4,713.10, 6,487.74 and 4,074.74 is: 5,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.10 : 6,487.74 = 4,074.74 : x
  2. Step 2: Convert to fraction form
    4,713.10/6,487.74 = 4,074.74/x
  3. Step 3: Cross multiply
    4,713.10x = 6,487.74 × 4,074.74
  4. Step 4: Simplify right side
    4,713.10x = 26,435,853.69
  5. Step 5: Solve for x
    x = 26,435,853.69/4,713.10
  6. Step 6: Final answer
    x = 5,609.02

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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.