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Finding the Fourth Proportional to 7,577.80, 10,426.26 and 7,402.84

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Solution

The fourth proportional to 7,577.80, 10,426.26 and 7,402.84 is: 10,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.80 : 10,426.26 = 7,402.84 : x
  2. Step 2: Convert to fraction form
    7,577.80/10,426.26 = 7,402.84/x
  3. Step 3: Cross multiply
    7,577.80x = 10,426.26 × 7,402.84
  4. Step 4: Simplify right side
    7,577.80x = 77,183,934.58
  5. Step 5: Solve for x
    x = 77,183,934.58/7,577.80
  6. Step 6: Final answer
    x = 10,185.53

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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.