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Finding the Fourth Proportional to 7,254.64, 10,880.86 and 2,323.76

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Solution

The fourth proportional to 7,254.64, 10,880.86 and 2,323.76 is: 3,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.64 : 10,880.86 = 2,323.76 : x
  2. Step 2: Convert to fraction form
    7,254.64/10,880.86 = 2,323.76/x
  3. Step 3: Cross multiply
    7,254.64x = 10,880.86 × 2,323.76
  4. Step 4: Simplify right side
    7,254.64x = 25,284,507.23
  5. Step 5: Solve for x
    x = 25,284,507.23/7,254.64
  6. Step 6: Final answer
    x = 3,485.29

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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.