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Finding the Fourth Proportional to 7,205.56, 9,934.72 and 6,012.29

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Solution

The fourth proportional to 7,205.56, 9,934.72 and 6,012.29 is: 8,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.56 : 9,934.72 = 6,012.29 : x
  2. Step 2: Convert to fraction form
    7,205.56/9,934.72 = 6,012.29/x
  3. Step 3: Cross multiply
    7,205.56x = 9,934.72 × 6,012.29
  4. Step 4: Simplify right side
    7,205.56x = 59,730,427.51
  5. Step 5: Solve for x
    x = 59,730,427.51/7,205.56
  6. Step 6: Final answer
    x = 8,289.49

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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.