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Finding the Fourth Proportional to 12,914.40, 19,368.90 and 5,519.10

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Solution

The fourth proportional to 12,914.40, 19,368.90 and 5,519.10 is: 8,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.40 : 19,368.90 = 5,519.10 : x
  2. Step 2: Convert to fraction form
    12,914.40/19,368.90 = 5,519.10/x
  3. Step 3: Cross multiply
    12,914.40x = 19,368.90 × 5,519.10
  4. Step 4: Simplify right side
    12,914.40x = 106,898,895.99
  5. Step 5: Solve for x
    x = 106,898,895.99/12,914.40
  6. Step 6: Final answer
    x = 8,277.50

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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.