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Finding the Fourth Proportional to 7,049.64, 9,724.10 and 4,535.03

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Solution

The fourth proportional to 7,049.64, 9,724.10 and 4,535.03 is: 6,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.64 : 9,724.10 = 4,535.03 : x
  2. Step 2: Convert to fraction form
    7,049.64/9,724.10 = 4,535.03/x
  3. Step 3: Cross multiply
    7,049.64x = 9,724.10 × 4,535.03
  4. Step 4: Simplify right side
    7,049.64x = 44,099,085.22
  5. Step 5: Solve for x
    x = 44,099,085.22/7,049.64
  6. Step 6: Final answer
    x = 6,255.51

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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.