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Finding the Fourth Proportional to 7,573.53, 10,449.56 and 4,742.28

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Solution

The fourth proportional to 7,573.53, 10,449.56 and 4,742.28 is: 6,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.53 : 10,449.56 = 4,742.28 : x
  2. Step 2: Convert to fraction form
    7,573.53/10,449.56 = 4,742.28/x
  3. Step 3: Cross multiply
    7,573.53x = 10,449.56 × 4,742.28
  4. Step 4: Simplify right side
    7,573.53x = 49,554,715.69
  5. Step 5: Solve for x
    x = 49,554,715.69/7,573.53
  6. Step 6: Final answer
    x = 6,543.15

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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.