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Finding the Fourth Proportional to 6,385,689.70, 9,578,534.55 and 5,251,948.90

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Solution

The fourth proportional to 6,385,689.70, 9,578,534.55 and 5,251,948.90 is: 7,877,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,689.70 : 9,578,534.55 = 5,251,948.90 : x
  2. Step 2: Convert to fraction form
    6,385,689.70/9,578,534.55 = 5,251,948.90/x
  3. Step 3: Cross multiply
    6,385,689.70x = 9,578,534.55 × 5,251,948.90
  4. Step 4: Simplify right side
    6,385,689.70x = 50,305,973,993,484.50
  5. Step 5: Solve for x
    x = 50,305,973,993,484.50/6,385,689.70
  6. Step 6: Final answer
    x = 7,877,923.35

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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.