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Finding the Fourth Proportional to 6,577.10, 9,076 and 3,592.34

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Solution

The fourth proportional to 6,577.10, 9,076 and 3,592.34 is: 4,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.10 : 9,076 = 3,592.34 : x
  2. Step 2: Convert to fraction form
    6,577.10/9,076 = 3,592.34/x
  3. Step 3: Cross multiply
    6,577.10x = 9,076 × 3,592.34
  4. Step 4: Simplify right side
    6,577.10x = 32,604,077.84
  5. Step 5: Solve for x
    x = 32,604,077.84/6,577.10
  6. Step 6: Final answer
    x = 4,957.21

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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.