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Finding the Fourth Proportional to 6,482,463.94, 9,724,751.16 and 3,027,658.42

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Solution

The fourth proportional to 6,482,463.94, 9,724,751.16 and 3,027,658.42 is: 4,541,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482,463.94 : 9,724,751.16 = 3,027,658.42 : x
  2. Step 2: Convert to fraction form
    6,482,463.94/9,724,751.16 = 3,027,658.42/x
  3. Step 3: Cross multiply
    6,482,463.94x = 9,724,751.16 × 3,027,658.42
  4. Step 4: Simplify right side
    6,482,463.94x = 29,443,224,731,978.77
  5. Step 5: Solve for x
    x = 29,443,224,731,978.77/6,482,463.94
  6. Step 6: Final answer
    x = 4,541,980.49

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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.