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Finding the Fourth Proportional to 10,295.65, 14,207.45 and 5,819.14

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Solution

The fourth proportional to 10,295.65, 14,207.45 and 5,819.14 is: 8,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.65 : 14,207.45 = 5,819.14 : x
  2. Step 2: Convert to fraction form
    10,295.65/14,207.45 = 5,819.14/x
  3. Step 3: Cross multiply
    10,295.65x = 14,207.45 × 5,819.14
  4. Step 4: Simplify right side
    10,295.65x = 82,675,117.04
  5. Step 5: Solve for x
    x = 82,675,117.04/10,295.65
  6. Step 6: Final answer
    x = 8,030.10

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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.