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Finding the Fourth Proportional to 6,221, 9,332.04 and 1,604

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Solution

The fourth proportional to 6,221, 9,332.04 and 1,604 is: 2,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221 : 9,332.04 = 1,604 : x
  2. Step 2: Convert to fraction form
    6,221/9,332.04 = 1,604/x
  3. Step 3: Cross multiply
    6,221x = 9,332.04 × 1,604
  4. Step 4: Simplify right side
    6,221x = 14,968,592.16
  5. Step 5: Solve for x
    x = 14,968,592.16/6,221
  6. Step 6: Final answer
    x = 2,406.14

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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.