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Finding the Fourth Proportional to 6,506,954.92, 9,749,759.82 and 4,610,310.76

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Solution

The fourth proportional to 6,506,954.92, 9,749,759.82 and 4,610,310.76 is: 6,907,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,954.92 : 9,749,759.82 = 4,610,310.76 : x
  2. Step 2: Convert to fraction form
    6,506,954.92/9,749,759.82 = 4,610,310.76/x
  3. Step 3: Cross multiply
    6,506,954.92x = 9,749,759.82 × 4,610,310.76
  4. Step 4: Simplify right side
    6,506,954.92x = 44,949,422,605,561.66
  5. Step 5: Solve for x
    x = 44,949,422,605,561.66/6,506,954.92
  6. Step 6: Final answer
    x = 6,907,904.41

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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.