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Finding the Fourth Proportional to 7,024.51, 9,694.52 and 4,040.47

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Solution

The fourth proportional to 7,024.51, 9,694.52 and 4,040.47 is: 5,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.51 : 9,694.52 = 4,040.47 : x
  2. Step 2: Convert to fraction form
    7,024.51/9,694.52 = 4,040.47/x
  3. Step 3: Cross multiply
    7,024.51x = 9,694.52 × 4,040.47
  4. Step 4: Simplify right side
    7,024.51x = 39,170,417.22
  5. Step 5: Solve for x
    x = 39,170,417.22/7,024.51
  6. Step 6: Final answer
    x = 5,576.25

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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.