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Finding the Fourth Proportional to 7,808.47, 11,689.70 and 5,026.88

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Solution

The fourth proportional to 7,808.47, 11,689.70 and 5,026.88 is: 7,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.47 : 11,689.70 = 5,026.88 : x
  2. Step 2: Convert to fraction form
    7,808.47/11,689.70 = 5,026.88/x
  3. Step 3: Cross multiply
    7,808.47x = 11,689.70 × 5,026.88
  4. Step 4: Simplify right side
    7,808.47x = 58,762,719.14
  5. Step 5: Solve for x
    x = 58,762,719.14/7,808.47
  6. Step 6: Final answer
    x = 7,525.51

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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.