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Finding the Fourth Proportional to 7,441, 10,264.98 and 4,609.24

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Solution

The fourth proportional to 7,441, 10,264.98 and 4,609.24 is: 6,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 10,264.98 = 4,609.24 : x
  2. Step 2: Convert to fraction form
    7,441/10,264.98 = 4,609.24/x
  3. Step 3: Cross multiply
    7,441x = 10,264.98 × 4,609.24
  4. Step 4: Simplify right side
    7,441x = 47,313,756.42
  5. Step 5: Solve for x
    x = 47,313,756.42/7,441
  6. Step 6: Final answer
    x = 6,358.52

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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.