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Finding the Fourth Proportional to 7,588.48, 10,472.08 and 5,074.24

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Solution

The fourth proportional to 7,588.48, 10,472.08 and 5,074.24 is: 7,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.48 : 10,472.08 = 5,074.24 : x
  2. Step 2: Convert to fraction form
    7,588.48/10,472.08 = 5,074.24/x
  3. Step 3: Cross multiply
    7,588.48x = 10,472.08 × 5,074.24
  4. Step 4: Simplify right side
    7,588.48x = 53,137,847.22
  5. Step 5: Solve for x
    x = 53,137,847.22/7,588.48
  6. Step 6: Final answer
    x = 7,002.44

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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.