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Finding the Fourth Proportional to 6,488,774.06, 9,733,097.90 and 4,561,735.46

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Solution

The fourth proportional to 6,488,774.06, 9,733,097.90 and 4,561,735.46 is: 6,842,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,774.06 : 9,733,097.90 = 4,561,735.46 : x
  2. Step 2: Convert to fraction form
    6,488,774.06/9,733,097.90 = 4,561,735.46/x
  3. Step 3: Cross multiply
    6,488,774.06x = 9,733,097.90 × 4,561,735.46
  4. Step 4: Simplify right side
    6,488,774.06x = 44,399,817,788,820.38
  5. Step 5: Solve for x
    x = 44,399,817,788,820.38/6,488,774.06
  6. Step 6: Final answer
    x = 6,842,558.77

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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.