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Finding the Fourth Proportional to 10,398.94, 14,349.16 and 5,922.74

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Solution

The fourth proportional to 10,398.94, 14,349.16 and 5,922.74 is: 8,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.94 : 14,349.16 = 5,922.74 : x
  2. Step 2: Convert to fraction form
    10,398.94/14,349.16 = 5,922.74/x
  3. Step 3: Cross multiply
    10,398.94x = 14,349.16 × 5,922.74
  4. Step 4: Simplify right side
    10,398.94x = 84,986,343.90
  5. Step 5: Solve for x
    x = 84,986,343.90/10,398.94
  6. Step 6: Final answer
    x = 8,172.60

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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.