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Finding the Fourth Proportional to 4,657.91, 6,969.24 and 4,407.62

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Solution

The fourth proportional to 4,657.91, 6,969.24 and 4,407.62 is: 6,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.91 : 6,969.24 = 4,407.62 : x
  2. Step 2: Convert to fraction form
    4,657.91/6,969.24 = 4,407.62/x
  3. Step 3: Cross multiply
    4,657.91x = 6,969.24 × 4,407.62
  4. Step 4: Simplify right side
    4,657.91x = 30,717,726.76
  5. Step 5: Solve for x
    x = 30,717,726.76/4,657.91
  6. Step 6: Final answer
    x = 6,594.75

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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.