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Finding the Fourth Proportional to 15,417, 23,125.50 and 7,071.84

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Solution

The fourth proportional to 15,417, 23,125.50 and 7,071.84 is: 10,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 23,125.50 = 7,071.84 : x
  2. Step 2: Convert to fraction form
    15,417/23,125.50 = 7,071.84/x
  3. Step 3: Cross multiply
    15,417x = 23,125.50 × 7,071.84
  4. Step 4: Simplify right side
    15,417x = 163,539,835.92
  5. Step 5: Solve for x
    x = 163,539,835.92/15,417
  6. Step 6: Final answer
    x = 10,607.76

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Double scale
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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.