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Finding the Fourth Proportional to 12,804.90, 19,215.46 and 5,013.50

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Solution

The fourth proportional to 12,804.90, 19,215.46 and 5,013.50 is: 7,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.90 : 19,215.46 = 5,013.50 : x
  2. Step 2: Convert to fraction form
    12,804.90/19,215.46 = 5,013.50/x
  3. Step 3: Cross multiply
    12,804.90x = 19,215.46 × 5,013.50
  4. Step 4: Simplify right side
    12,804.90x = 96,336,708.71
  5. Step 5: Solve for x
    x = 96,336,708.71/12,804.90
  6. Step 6: Final answer
    x = 7,523.43

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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.