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Finding the Fourth Proportional to 10,398.03, 14,349.64 and 5,682.62

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Solution

The fourth proportional to 10,398.03, 14,349.64 and 5,682.62 is: 7,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.03 : 14,349.64 = 5,682.62 : x
  2. Step 2: Convert to fraction form
    10,398.03/14,349.64 = 5,682.62/x
  3. Step 3: Cross multiply
    10,398.03x = 14,349.64 × 5,682.62
  4. Step 4: Simplify right side
    10,398.03x = 81,543,551.26
  5. Step 5: Solve for x
    x = 81,543,551.26/10,398.03
  6. Step 6: Final answer
    x = 7,842.21

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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.