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Finding the Fourth Proportional to 6,706.29, 10,058.25 and 1,776

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Solution

The fourth proportional to 6,706.29, 10,058.25 and 1,776 is: 2,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.29 : 10,058.25 = 1,776 : x
  2. Step 2: Convert to fraction form
    6,706.29/10,058.25 = 1,776/x
  3. Step 3: Cross multiply
    6,706.29x = 10,058.25 × 1,776
  4. Step 4: Simplify right side
    6,706.29x = 17,863,452
  5. Step 5: Solve for x
    x = 17,863,452/6,706.29
  6. Step 6: Final answer
    x = 2,663.69

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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.