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Finding the Fourth Proportional to 7,409.78, 10,224.08 and 4,223.02

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Solution

The fourth proportional to 7,409.78, 10,224.08 and 4,223.02 is: 5,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.78 : 10,224.08 = 4,223.02 : x
  2. Step 2: Convert to fraction form
    7,409.78/10,224.08 = 4,223.02/x
  3. Step 3: Cross multiply
    7,409.78x = 10,224.08 × 4,223.02
  4. Step 4: Simplify right side
    7,409.78x = 43,176,443.20
  5. Step 5: Solve for x
    x = 43,176,443.20/7,409.78
  6. Step 6: Final answer
    x = 5,826.95

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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.