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Finding the Fourth Proportional to 6,542,696.16, 9,822,894.24 and 4,515,900.96

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Solution

The fourth proportional to 6,542,696.16, 9,822,894.24 and 4,515,900.96 is: 6,779,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542,696.16 : 9,822,894.24 = 4,515,900.96 : x
  2. Step 2: Convert to fraction form
    6,542,696.16/9,822,894.24 = 4,515,900.96/x
  3. Step 3: Cross multiply
    6,542,696.16x = 9,822,894.24 × 4,515,900.96
  4. Step 4: Simplify right side
    6,542,696.16x = 44,359,217,528,394.47
  5. Step 5: Solve for x
    x = 44,359,217,528,394.47/6,542,696.16
  6. Step 6: Final answer
    x = 6,779,959.89

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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.