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Finding the Fourth Proportional to 6,562,649.62, 9,829,802.65 and 6,402,036.34

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Solution

The fourth proportional to 6,562,649.62, 9,829,802.65 and 6,402,036.34 is: 9,589,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562,649.62 : 9,829,802.65 = 6,402,036.34 : x
  2. Step 2: Convert to fraction form
    6,562,649.62/9,829,802.65 = 6,402,036.34/x
  3. Step 3: Cross multiply
    6,562,649.62x = 9,829,802.65 × 6,402,036.34
  4. Step 4: Simplify right side
    6,562,649.62x = 62,930,753,780,328.30
  5. Step 5: Solve for x
    x = 62,930,753,780,328.30/6,562,649.62
  6. Step 6: Final answer
    x = 9,589,229.57

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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.