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Finding the Fourth Proportional to 10,492.74, 14,476.73 and 6,952.23

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Solution

The fourth proportional to 10,492.74, 14,476.73 and 6,952.23 is: 9,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.74 : 14,476.73 = 6,952.23 : x
  2. Step 2: Convert to fraction form
    10,492.74/14,476.73 = 6,952.23/x
  3. Step 3: Cross multiply
    10,492.74x = 14,476.73 × 6,952.23
  4. Step 4: Simplify right side
    10,492.74x = 100,645,521.85
  5. Step 5: Solve for x
    x = 100,645,521.85/10,492.74
  6. Step 6: Final answer
    x = 9,591.92

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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.