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Finding the Fourth Proportional to 6,058.92, 9,094.74 and 5,370

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Solution

The fourth proportional to 6,058.92, 9,094.74 and 5,370 is: 8,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.92 : 9,094.74 = 5,370 : x
  2. Step 2: Convert to fraction form
    6,058.92/9,094.74 = 5,370/x
  3. Step 3: Cross multiply
    6,058.92x = 9,094.74 × 5,370
  4. Step 4: Simplify right side
    6,058.92x = 48,838,753.80
  5. Step 5: Solve for x
    x = 48,838,753.80/6,058.92
  6. Step 6: Final answer
    x = 8,060.64

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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.