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Finding the Fourth Proportional to 7,726.74, 10,662.46 and 4,539.54

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Solution

The fourth proportional to 7,726.74, 10,662.46 and 4,539.54 is: 6,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.74 : 10,662.46 = 4,539.54 : x
  2. Step 2: Convert to fraction form
    7,726.74/10,662.46 = 4,539.54/x
  3. Step 3: Cross multiply
    7,726.74x = 10,662.46 × 4,539.54
  4. Step 4: Simplify right side
    7,726.74x = 48,402,663.67
  5. Step 5: Solve for x
    x = 48,402,663.67/7,726.74
  6. Step 6: Final answer
    x = 6,264.31

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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.