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Finding the Fourth Proportional to 10,684.62, 14,750.92 and 7,104.42

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Solution

The fourth proportional to 10,684.62, 14,750.92 and 7,104.42 is: 9,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.62 : 14,750.92 = 7,104.42 : x
  2. Step 2: Convert to fraction form
    10,684.62/14,750.92 = 7,104.42/x
  3. Step 3: Cross multiply
    10,684.62x = 14,750.92 × 7,104.42
  4. Step 4: Simplify right side
    10,684.62x = 104,796,731.07
  5. Step 5: Solve for x
    x = 104,796,731.07/10,684.62
  6. Step 6: Final answer
    x = 9,808.19

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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.