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Finding the Fourth Proportional to 10,398.66, 14,349.47 and 5,922.87

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Solution

The fourth proportional to 10,398.66, 14,349.47 and 5,922.87 is: 8,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.66 : 14,349.47 = 5,922.87 : x
  2. Step 2: Convert to fraction form
    10,398.66/14,349.47 = 5,922.87/x
  3. Step 3: Cross multiply
    10,398.66x = 14,349.47 × 5,922.87
  4. Step 4: Simplify right side
    10,398.66x = 84,990,015.76
  5. Step 5: Solve for x
    x = 84,990,015.76/10,398.66
  6. Step 6: Final answer
    x = 8,173.17

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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.