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Finding the Fourth Proportional to 15,283.80, 22,931.52 and 7,883.54

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Solution

The fourth proportional to 15,283.80, 22,931.52 and 7,883.54 is: 11,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.80 : 22,931.52 = 7,883.54 : x
  2. Step 2: Convert to fraction form
    15,283.80/22,931.52 = 7,883.54/x
  3. Step 3: Cross multiply
    15,283.80x = 22,931.52 × 7,883.54
  4. Step 4: Simplify right side
    15,283.80x = 180,781,555.18
  5. Step 5: Solve for x
    x = 180,781,555.18/15,283.80
  6. Step 6: Final answer
    x = 11,828.31

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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.