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Finding the Fourth Proportional to 7,176.54, 9,876.66 and 6,072

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Solution

The fourth proportional to 7,176.54, 9,876.66 and 6,072 is: 8,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.54 : 9,876.66 = 6,072 : x
  2. Step 2: Convert to fraction form
    7,176.54/9,876.66 = 6,072/x
  3. Step 3: Cross multiply
    7,176.54x = 9,876.66 × 6,072
  4. Step 4: Simplify right side
    7,176.54x = 59,971,079.52
  5. Step 5: Solve for x
    x = 59,971,079.52/7,176.54
  6. Step 6: Final answer
    x = 8,356.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.