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Finding the Fourth Proportional to 9,482.58, 14,151.76 and 8,431.66

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Solution

The fourth proportional to 9,482.58, 14,151.76 and 8,431.66 is: 12,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.58 : 14,151.76 = 8,431.66 : x
  2. Step 2: Convert to fraction form
    9,482.58/14,151.76 = 8,431.66/x
  3. Step 3: Cross multiply
    9,482.58x = 14,151.76 × 8,431.66
  4. Step 4: Simplify right side
    9,482.58x = 119,322,772.26
  5. Step 5: Solve for x
    x = 119,322,772.26/9,482.58
  6. Step 6: Final answer
    x = 12,583.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.