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Finding the Fourth Proportional to 11,266, 15,547.08 and 6,298

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Solution

The fourth proportional to 11,266, 15,547.08 and 6,298 is: 8,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266 : 15,547.08 = 6,298 : x
  2. Step 2: Convert to fraction form
    11,266/15,547.08 = 6,298/x
  3. Step 3: Cross multiply
    11,266x = 15,547.08 × 6,298
  4. Step 4: Simplify right side
    11,266x = 97,915,509.84
  5. Step 5: Solve for x
    x = 97,915,509.84/11,266
  6. Step 6: Final answer
    x = 8,691.24

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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.