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Finding the Fourth Proportional to 15,838.53, 23,765.69 and 7,071.09

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Solution

The fourth proportional to 15,838.53, 23,765.69 and 7,071.09 is: 10,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.53 : 23,765.69 = 7,071.09 : x
  2. Step 2: Convert to fraction form
    15,838.53/23,765.69 = 7,071.09/x
  3. Step 3: Cross multiply
    15,838.53x = 23,765.69 × 7,071.09
  4. Step 4: Simplify right side
    15,838.53x = 168,049,332.90
  5. Step 5: Solve for x
    x = 168,049,332.90/15,838.53
  6. Step 6: Final answer
    x = 10,610.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.