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Finding the Fourth Proportional to 10,884.24, 15,020.51 and 7,703.24

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Solution

The fourth proportional to 10,884.24, 15,020.51 and 7,703.24 is: 10,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.24 : 15,020.51 = 7,703.24 : x
  2. Step 2: Convert to fraction form
    10,884.24/15,020.51 = 7,703.24/x
  3. Step 3: Cross multiply
    10,884.24x = 15,020.51 × 7,703.24
  4. Step 4: Simplify right side
    10,884.24x = 115,706,479.83
  5. Step 5: Solve for x
    x = 115,706,479.83/10,884.24
  6. Step 6: Final answer
    x = 10,630.64

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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.