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Finding the Fourth Proportional to 7,264.63, 10,024.07 and 4,078.09

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Solution

The fourth proportional to 7,264.63, 10,024.07 and 4,078.09 is: 5,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.63 : 10,024.07 = 4,078.09 : x
  2. Step 2: Convert to fraction form
    7,264.63/10,024.07 = 4,078.09/x
  3. Step 3: Cross multiply
    7,264.63x = 10,024.07 × 4,078.09
  4. Step 4: Simplify right side
    7,264.63x = 40,879,044.76
  5. Step 5: Solve for x
    x = 40,879,044.76/7,264.63
  6. Step 6: Final answer
    x = 5,627.14

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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.