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Finding the Fourth Proportional to 7,232.19, 9,962.58 and 6,166.48

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Solution

The fourth proportional to 7,232.19, 9,962.58 and 6,166.48 is: 8,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.19 : 9,962.58 = 6,166.48 : x
  2. Step 2: Convert to fraction form
    7,232.19/9,962.58 = 6,166.48/x
  3. Step 3: Cross multiply
    7,232.19x = 9,962.58 × 6,166.48
  4. Step 4: Simplify right side
    7,232.19x = 61,434,050.32
  5. Step 5: Solve for x
    x = 61,434,050.32/7,232.19
  6. Step 6: Final answer
    x = 8,494.54

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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.