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Finding the Fourth Proportional to 17,521, 26,285.34 and 6,577

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Solution

The fourth proportional to 17,521, 26,285.34 and 6,577 is: 9,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521 : 26,285.34 = 6,577 : x
  2. Step 2: Convert to fraction form
    17,521/26,285.34 = 6,577/x
  3. Step 3: Cross multiply
    17,521x = 26,285.34 × 6,577
  4. Step 4: Simplify right side
    17,521x = 172,878,681.18
  5. Step 5: Solve for x
    x = 172,878,681.18/17,521
  6. Step 6: Final answer
    x = 9,866.94

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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.