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Finding the Fourth Proportional to 6,460,478.47, 8,915,851.76 and 3,559,865.83

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Solution

The fourth proportional to 6,460,478.47, 8,915,851.76 and 3,559,865.83 is: 4,912,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,478.47 : 8,915,851.76 = 3,559,865.83 : x
  2. Step 2: Convert to fraction form
    6,460,478.47/8,915,851.76 = 3,559,865.83/x
  3. Step 3: Cross multiply
    6,460,478.47x = 8,915,851.76 × 3,559,865.83
  4. Step 4: Simplify right side
    6,460,478.47x = 31,739,236,025,769.36
  5. Step 5: Solve for x
    x = 31,739,236,025,769.36/6,460,478.47
  6. Step 6: Final answer
    x = 4,912,830.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.