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Finding the Fourth Proportional to 12,874.96, 19,307.48 and 5,482.92

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Solution

The fourth proportional to 12,874.96, 19,307.48 and 5,482.92 is: 8,222.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.96 : 19,307.48 = 5,482.92 : x
  2. Step 2: Convert to fraction form
    12,874.96/19,307.48 = 5,482.92/x
  3. Step 3: Cross multiply
    12,874.96x = 19,307.48 × 5,482.92
  4. Step 4: Simplify right side
    12,874.96x = 105,861,368.24
  5. Step 5: Solve for x
    x = 105,861,368.24/12,874.96
  6. Step 6: Final answer
    x = 8,222.27

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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.