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Finding the Fourth Proportional to 7,166.64, 9,891.72 and 4,374.48

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Solution

The fourth proportional to 7,166.64, 9,891.72 and 4,374.48 is: 6,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.64 : 9,891.72 = 4,374.48 : x
  2. Step 2: Convert to fraction form
    7,166.64/9,891.72 = 4,374.48/x
  3. Step 3: Cross multiply
    7,166.64x = 9,891.72 × 4,374.48
  4. Step 4: Simplify right side
    7,166.64x = 43,271,131.31
  5. Step 5: Solve for x
    x = 43,271,131.31/7,166.64
  6. Step 6: Final answer
    x = 6,037.85

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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.