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Finding the Fourth Proportional to 7,104.32, 10,656.48 and 2,663

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Solution

The fourth proportional to 7,104.32, 10,656.48 and 2,663 is: 3,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.32 : 10,656.48 = 2,663 : x
  2. Step 2: Convert to fraction form
    7,104.32/10,656.48 = 2,663/x
  3. Step 3: Cross multiply
    7,104.32x = 10,656.48 × 2,663
  4. Step 4: Simplify right side
    7,104.32x = 28,378,206.24
  5. Step 5: Solve for x
    x = 28,378,206.24/7,104.32
  6. Step 6: Final answer
    x = 3,994.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.