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Finding the Fourth Proportional to 7,664.76, 11,497.10 and 2,470.68

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Solution

The fourth proportional to 7,664.76, 11,497.10 and 2,470.68 is: 3,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.76 : 11,497.10 = 2,470.68 : x
  2. Step 2: Convert to fraction form
    7,664.76/11,497.10 = 2,470.68/x
  3. Step 3: Cross multiply
    7,664.76x = 11,497.10 × 2,470.68
  4. Step 4: Simplify right side
    7,664.76x = 28,405,655.03
  5. Step 5: Solve for x
    x = 28,405,655.03/7,664.76
  6. Step 6: Final answer
    x = 3,706.01

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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.