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Finding the Fourth Proportional to 10,574.96, 15,845.42 and 6,886.22

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Solution

The fourth proportional to 10,574.96, 15,845.42 and 6,886.22 is: 10,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.96 : 15,845.42 = 6,886.22 : x
  2. Step 2: Convert to fraction form
    10,574.96/15,845.42 = 6,886.22/x
  3. Step 3: Cross multiply
    10,574.96x = 15,845.42 × 6,886.22
  4. Step 4: Simplify right side
    10,574.96x = 109,115,048.11
  5. Step 5: Solve for x
    x = 109,115,048.11/10,574.96
  6. Step 6: Final answer
    x = 10,318.25

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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.