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Finding the Fourth Proportional to 11,294, 15,585.84 and 6,258.32

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Solution

The fourth proportional to 11,294, 15,585.84 and 6,258.32 is: 8,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 15,585.84 = 6,258.32 : x
  2. Step 2: Convert to fraction form
    11,294/15,585.84 = 6,258.32/x
  3. Step 3: Cross multiply
    11,294x = 15,585.84 × 6,258.32
  4. Step 4: Simplify right side
    11,294x = 97,541,174.19
  5. Step 5: Solve for x
    x = 97,541,174.19/11,294
  6. Step 6: Final answer
    x = 8,636.55

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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.