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Finding the Fourth Proportional to 10,666, 14,719.08 and 5,950.28

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Solution

The fourth proportional to 10,666, 14,719.08 and 5,950.28 is: 8,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666 : 14,719.08 = 5,950.28 : x
  2. Step 2: Convert to fraction form
    10,666/14,719.08 = 5,950.28/x
  3. Step 3: Cross multiply
    10,666x = 14,719.08 × 5,950.28
  4. Step 4: Simplify right side
    10,666x = 87,582,647.34
  5. Step 5: Solve for x
    x = 87,582,647.34/10,666
  6. Step 6: Final answer
    x = 8,211.39

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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.