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Finding the Fourth Proportional to 10,297.13, 14,210.03 and 5,581.41

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Solution

The fourth proportional to 10,297.13, 14,210.03 and 5,581.41 is: 7,702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 14,210.03 = 5,581.41 : x
  2. Step 2: Convert to fraction form
    10,297.13/14,210.03 = 5,581.41/x
  3. Step 3: Cross multiply
    10,297.13x = 14,210.03 × 5,581.41
  4. Step 4: Simplify right side
    10,297.13x = 79,311,964.21
  5. Step 5: Solve for x
    x = 79,311,964.21/10,297.13
  6. Step 6: Final answer
    x = 7,702.34

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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.