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Finding the Fourth Proportional to 6,354.71, 9,530.25 and 4,011.20

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Solution

The fourth proportional to 6,354.71, 9,530.25 and 4,011.20 is: 6,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.71 : 9,530.25 = 4,011.20 : x
  2. Step 2: Convert to fraction form
    6,354.71/9,530.25 = 4,011.20/x
  3. Step 3: Cross multiply
    6,354.71x = 9,530.25 × 4,011.20
  4. Step 4: Simplify right side
    6,354.71x = 38,227,762.63
  5. Step 5: Solve for x
    x = 38,227,762.63/6,354.71
  6. Step 6: Final answer
    x = 6,015.66

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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.