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Finding the Fourth Proportional to 7,785.04, 11,680.80 and 4,671.04

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Solution

The fourth proportional to 7,785.04, 11,680.80 and 4,671.04 is: 7,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.04 : 11,680.80 = 4,671.04 : x
  2. Step 2: Convert to fraction form
    7,785.04/11,680.80 = 4,671.04/x
  3. Step 3: Cross multiply
    7,785.04x = 11,680.80 × 4,671.04
  4. Step 4: Simplify right side
    7,785.04x = 54,561,484.03
  5. Step 5: Solve for x
    x = 54,561,484.03/7,785.04
  6. Step 6: Final answer
    x = 7,008.50

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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.