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Finding the Fourth Proportional to 7,708.01, 11,494.33 and 7,637.84

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Solution

The fourth proportional to 7,708.01, 11,494.33 and 7,637.84 is: 11,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.01 : 11,494.33 = 7,637.84 : x
  2. Step 2: Convert to fraction form
    7,708.01/11,494.33 = 7,637.84/x
  3. Step 3: Cross multiply
    7,708.01x = 11,494.33 × 7,637.84
  4. Step 4: Simplify right side
    7,708.01x = 87,791,819.98
  5. Step 5: Solve for x
    x = 87,791,819.98/7,708.01
  6. Step 6: Final answer
    x = 11,389.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.