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Finding the Fourth Proportional to 6,460.04, 8,901.70 and 6,111.38

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Solution

The fourth proportional to 6,460.04, 8,901.70 and 6,111.38 is: 8,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.04 : 8,901.70 = 6,111.38 : x
  2. Step 2: Convert to fraction form
    6,460.04/8,901.70 = 6,111.38/x
  3. Step 3: Cross multiply
    6,460.04x = 8,901.70 × 6,111.38
  4. Step 4: Simplify right side
    6,460.04x = 54,401,611.56
  5. Step 5: Solve for x
    x = 54,401,611.56/6,460.04
  6. Step 6: Final answer
    x = 8,421.26

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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.