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Finding the Fourth Proportional to 7,352.78, 11,029.14 and 2,970.18

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Solution

The fourth proportional to 7,352.78, 11,029.14 and 2,970.18 is: 4,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.78 : 11,029.14 = 2,970.18 : x
  2. Step 2: Convert to fraction form
    7,352.78/11,029.14 = 2,970.18/x
  3. Step 3: Cross multiply
    7,352.78x = 11,029.14 × 2,970.18
  4. Step 4: Simplify right side
    7,352.78x = 32,758,531.05
  5. Step 5: Solve for x
    x = 32,758,531.05/7,352.78
  6. Step 6: Final answer
    x = 4,455.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.