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Finding the Fourth Proportional to 8,763.50, 12,094.74 and 5,785.54

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Solution

The fourth proportional to 8,763.50, 12,094.74 and 5,785.54 is: 7,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.50 : 12,094.74 = 5,785.54 : x
  2. Step 2: Convert to fraction form
    8,763.50/12,094.74 = 5,785.54/x
  3. Step 3: Cross multiply
    8,763.50x = 12,094.74 × 5,785.54
  4. Step 4: Simplify right side
    8,763.50x = 69,974,602.06
  5. Step 5: Solve for x
    x = 69,974,602.06/8,763.50
  6. Step 6: Final answer
    x = 7,984.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.