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Finding the Fourth Proportional to 10,407, 14,363.26 and 8,185.70

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Solution

The fourth proportional to 10,407, 14,363.26 and 8,185.70 is: 11,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407 : 14,363.26 = 8,185.70 : x
  2. Step 2: Convert to fraction form
    10,407/14,363.26 = 8,185.70/x
  3. Step 3: Cross multiply
    10,407x = 14,363.26 × 8,185.70
  4. Step 4: Simplify right side
    10,407x = 117,573,337.38
  5. Step 5: Solve for x
    x = 117,573,337.38/10,407
  6. Step 6: Final answer
    x = 11,297.52

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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.