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Finding the Fourth Proportional to 10,097.43, 13,924.79 and 7,703.15

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Solution

The fourth proportional to 10,097.43, 13,924.79 and 7,703.15 is: 10,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.43 : 13,924.79 = 7,703.15 : x
  2. Step 2: Convert to fraction form
    10,097.43/13,924.79 = 7,703.15/x
  3. Step 3: Cross multiply
    10,097.43x = 13,924.79 × 7,703.15
  4. Step 4: Simplify right side
    10,097.43x = 107,264,746.09
  5. Step 5: Solve for x
    x = 107,264,746.09/10,097.43
  6. Step 6: Final answer
    x = 10,622.97

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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.