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Finding the Fourth Proportional to 6,954.76, 10,432.14 and 4,213

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Solution

The fourth proportional to 6,954.76, 10,432.14 and 4,213 is: 6,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.76 : 10,432.14 = 4,213 : x
  2. Step 2: Convert to fraction form
    6,954.76/10,432.14 = 4,213/x
  3. Step 3: Cross multiply
    6,954.76x = 10,432.14 × 4,213
  4. Step 4: Simplify right side
    6,954.76x = 43,950,605.82
  5. Step 5: Solve for x
    x = 43,950,605.82/6,954.76
  6. Step 6: Final answer
    x = 6,319.50

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Double scale
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Similar ratio
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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.