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Finding the Fourth Proportional to 4,744.86, 6,552.63 and 4,042.14

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Solution

The fourth proportional to 4,744.86, 6,552.63 and 4,042.14 is: 5,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.86 : 6,552.63 = 4,042.14 : x
  2. Step 2: Convert to fraction form
    4,744.86/6,552.63 = 4,042.14/x
  3. Step 3: Cross multiply
    4,744.86x = 6,552.63 × 4,042.14
  4. Step 4: Simplify right side
    4,744.86x = 26,486,647.83
  5. Step 5: Solve for x
    x = 26,486,647.83/4,744.86
  6. Step 6: Final answer
    x = 5,582.18

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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.