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Finding the Fourth Proportional to 7,497.76, 11,247.16 and 2,880.76

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Solution

The fourth proportional to 7,497.76, 11,247.16 and 2,880.76 is: 4,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.76 : 11,247.16 = 2,880.76 : x
  2. Step 2: Convert to fraction form
    7,497.76/11,247.16 = 2,880.76/x
  3. Step 3: Cross multiply
    7,497.76x = 11,247.16 × 2,880.76
  4. Step 4: Simplify right side
    7,497.76x = 32,400,368.64
  5. Step 5: Solve for x
    x = 32,400,368.64/7,497.76
  6. Step 6: Final answer
    x = 4,321.34

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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.