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Finding the Fourth Proportional to 6,897.42, 10,346.13 and 4,124.90

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Solution

The fourth proportional to 6,897.42, 10,346.13 and 4,124.90 is: 6,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.42 : 10,346.13 = 4,124.90 : x
  2. Step 2: Convert to fraction form
    6,897.42/10,346.13 = 4,124.90/x
  3. Step 3: Cross multiply
    6,897.42x = 10,346.13 × 4,124.90
  4. Step 4: Simplify right side
    6,897.42x = 42,676,777.50
  5. Step 5: Solve for x
    x = 42,676,777.50/6,897.42
  6. Step 6: Final answer
    x = 6,187.35

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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.