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Finding the Fourth Proportional to 7,541.04, 10,400.22 and 5,302.20

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Solution

The fourth proportional to 7,541.04, 10,400.22 and 5,302.20 is: 7,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.04 : 10,400.22 = 5,302.20 : x
  2. Step 2: Convert to fraction form
    7,541.04/10,400.22 = 5,302.20/x
  3. Step 3: Cross multiply
    7,541.04x = 10,400.22 × 5,302.20
  4. Step 4: Simplify right side
    7,541.04x = 55,144,046.48
  5. Step 5: Solve for x
    x = 55,144,046.48/7,541.04
  6. Step 6: Final answer
    x = 7,312.53

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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.