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Finding the Fourth Proportional to 7,734.76, 11,602.77 and 2,470.48

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Solution

The fourth proportional to 7,734.76, 11,602.77 and 2,470.48 is: 3,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.76 : 11,602.77 = 2,470.48 : x
  2. Step 2: Convert to fraction form
    7,734.76/11,602.77 = 2,470.48/x
  3. Step 3: Cross multiply
    7,734.76x = 11,602.77 × 2,470.48
  4. Step 4: Simplify right side
    7,734.76x = 28,664,411.23
  5. Step 5: Solve for x
    x = 28,664,411.23/7,734.76
  6. Step 6: Final answer
    x = 3,705.92

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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.