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Finding the Fourth Proportional to 10,290.65, 14,201.01 and 5,574.92

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Solution

The fourth proportional to 10,290.65, 14,201.01 and 5,574.92 is: 7,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.65 : 14,201.01 = 5,574.92 : x
  2. Step 2: Convert to fraction form
    10,290.65/14,201.01 = 5,574.92/x
  3. Step 3: Cross multiply
    10,290.65x = 14,201.01 × 5,574.92
  4. Step 4: Simplify right side
    10,290.65x = 79,169,494.67
  5. Step 5: Solve for x
    x = 79,169,494.67/10,290.65
  6. Step 6: Final answer
    x = 7,693.34

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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.