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Finding the Fourth Proportional to 7,888.24, 11,830.69 and 2,958.24

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Solution

The fourth proportional to 7,888.24, 11,830.69 and 2,958.24 is: 4,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.24 : 11,830.69 = 2,958.24 : x
  2. Step 2: Convert to fraction form
    7,888.24/11,830.69 = 2,958.24/x
  3. Step 3: Cross multiply
    7,888.24x = 11,830.69 × 2,958.24
  4. Step 4: Simplify right side
    7,888.24x = 34,998,068.45
  5. Step 5: Solve for x
    x = 34,998,068.45/7,888.24
  6. Step 6: Final answer
    x = 4,436.74

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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.