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Finding the Fourth Proportional to 9,460.70, 13,058.02 and 5,484

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Solution

The fourth proportional to 9,460.70, 13,058.02 and 5,484 is: 7,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.70 : 13,058.02 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,460.70/13,058.02 = 5,484/x
  3. Step 3: Cross multiply
    9,460.70x = 13,058.02 × 5,484
  4. Step 4: Simplify right side
    9,460.70x = 71,610,181.68
  5. Step 5: Solve for x
    x = 71,610,181.68/9,460.70
  6. Step 6: Final answer
    x = 7,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.