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Finding the Fourth Proportional to 10,262.70, 15,368.45 and 8,214.70

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Solution

The fourth proportional to 10,262.70, 15,368.45 and 8,214.70 is: 12,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.70 : 15,368.45 = 8,214.70 : x
  2. Step 2: Convert to fraction form
    10,262.70/15,368.45 = 8,214.70/x
  3. Step 3: Cross multiply
    10,262.70x = 15,368.45 × 8,214.70
  4. Step 4: Simplify right side
    10,262.70x = 126,247,206.22
  5. Step 5: Solve for x
    x = 126,247,206.22/10,262.70
  6. Step 6: Final answer
    x = 12,301.56

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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.