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Finding the Fourth Proportional to 10,397.79, 14,349.78 and 5,922.93

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Solution

The fourth proportional to 10,397.79, 14,349.78 and 5,922.93 is: 8,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.79 : 14,349.78 = 5,922.93 : x
  2. Step 2: Convert to fraction form
    10,397.79/14,349.78 = 5,922.93/x
  3. Step 3: Cross multiply
    10,397.79x = 14,349.78 × 5,922.93
  4. Step 4: Simplify right side
    10,397.79x = 84,992,742.46
  5. Step 5: Solve for x
    x = 84,992,742.46/10,397.79
  6. Step 6: Final answer
    x = 8,174.12

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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.