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Finding the Fourth Proportional to 11,233, 15,501.54 and 6,265

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Solution

The fourth proportional to 11,233, 15,501.54 and 6,265 is: 8,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233 : 15,501.54 = 6,265 : x
  2. Step 2: Convert to fraction form
    11,233/15,501.54 = 6,265/x
  3. Step 3: Cross multiply
    11,233x = 15,501.54 × 6,265
  4. Step 4: Simplify right side
    11,233x = 97,117,148.10
  5. Step 5: Solve for x
    x = 97,117,148.10/11,233
  6. Step 6: Final answer
    x = 8,645.70

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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.