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Finding the Fourth Proportional to 10,952.73, 15,114.76 and 5,984.73

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Solution

The fourth proportional to 10,952.73, 15,114.76 and 5,984.73 is: 8,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.73 : 15,114.76 = 5,984.73 : x
  2. Step 2: Convert to fraction form
    10,952.73/15,114.76 = 5,984.73/x
  3. Step 3: Cross multiply
    10,952.73x = 15,114.76 × 5,984.73
  4. Step 4: Simplify right side
    10,952.73x = 90,457,742.65
  5. Step 5: Solve for x
    x = 90,457,742.65/10,952.73
  6. Step 6: Final answer
    x = 8,258.92

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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.