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Finding the Fourth Proportional to 6,475,382.60, 9,713,073.90 and 4,584,259.40

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Solution

The fourth proportional to 6,475,382.60, 9,713,073.90 and 4,584,259.40 is: 6,876,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,382.60 : 9,713,073.90 = 4,584,259.40 : x
  2. Step 2: Convert to fraction form
    6,475,382.60/9,713,073.90 = 4,584,259.40/x
  3. Step 3: Cross multiply
    6,475,382.60x = 9,713,073.90 × 4,584,259.40
  4. Step 4: Simplify right side
    6,475,382.60x = 44,527,250,328,969.66
  5. Step 5: Solve for x
    x = 44,527,250,328,969.66/6,475,382.60
  6. Step 6: Final answer
    x = 6,876,389.10

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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.