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Finding the Fourth Proportional to 11,294, 15,585.69 and 6,258.23

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Solution

The fourth proportional to 11,294, 15,585.69 and 6,258.23 is: 8,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 15,585.69 = 6,258.23 : x
  2. Step 2: Convert to fraction form
    11,294/15,585.69 = 6,258.23/x
  3. Step 3: Cross multiply
    11,294x = 15,585.69 × 6,258.23
  4. Step 4: Simplify right side
    11,294x = 97,538,832.73
  5. Step 5: Solve for x
    x = 97,538,832.73/11,294
  6. Step 6: Final answer
    x = 8,636.34

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Double scale
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1.5x scale

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.