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Finding the Fourth Proportional to 7,806.78, 11,752.29 and 7,128.81

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Solution

The fourth proportional to 7,806.78, 11,752.29 and 7,128.81 is: 10,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.78 : 11,752.29 = 7,128.81 : x
  2. Step 2: Convert to fraction form
    7,806.78/11,752.29 = 7,128.81/x
  3. Step 3: Cross multiply
    7,806.78x = 11,752.29 × 7,128.81
  4. Step 4: Simplify right side
    7,806.78x = 83,779,842.47
  5. Step 5: Solve for x
    x = 83,779,842.47/7,806.78
  6. Step 6: Final answer
    x = 10,731.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.