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Finding the Fourth Proportional to 7,582.28, 10,387.76 and 7,298.19

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Solution

The fourth proportional to 7,582.28, 10,387.76 and 7,298.19 is: 9,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.28 : 10,387.76 = 7,298.19 : x
  2. Step 2: Convert to fraction form
    7,582.28/10,387.76 = 7,298.19/x
  3. Step 3: Cross multiply
    7,582.28x = 10,387.76 × 7,298.19
  4. Step 4: Simplify right side
    7,582.28x = 75,811,846.15
  5. Step 5: Solve for x
    x = 75,811,846.15/7,582.28
  6. Step 6: Final answer
    x = 9,998.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.