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Finding the Fourth Proportional to 10,646.02, 15,955.80 and 6,751.54

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Solution

The fourth proportional to 10,646.02, 15,955.80 and 6,751.54 is: 10,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.02 : 15,955.80 = 6,751.54 : x
  2. Step 2: Convert to fraction form
    10,646.02/15,955.80 = 6,751.54/x
  3. Step 3: Cross multiply
    10,646.02x = 15,955.80 × 6,751.54
  4. Step 4: Simplify right side
    10,646.02x = 107,726,221.93
  5. Step 5: Solve for x
    x = 107,726,221.93/10,646.02
  6. Step 6: Final answer
    x = 10,118.92

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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.