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Finding the Fourth Proportional to 6,838,860.60, 10,256,978.70 and 2,046,706.20

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Solution

The fourth proportional to 6,838,860.60, 10,256,978.70 and 2,046,706.20 is: 3,069,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,860.60 : 10,256,978.70 = 2,046,706.20 : x
  2. Step 2: Convert to fraction form
    6,838,860.60/10,256,978.70 = 2,046,706.20/x
  3. Step 3: Cross multiply
    6,838,860.60x = 10,256,978.70 × 2,046,706.20
  4. Step 4: Simplify right side
    6,838,860.60x = 20,993,021,898,557.94
  5. Step 5: Solve for x
    x = 20,993,021,898,557.94/6,838,860.60
  6. Step 6: Final answer
    x = 3,069,666.59

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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.