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Finding the Fourth Proportional to 4,813.06, 7,204.46 and 4,700.74

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Solution

The fourth proportional to 4,813.06, 7,204.46 and 4,700.74 is: 7,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.06 : 7,204.46 = 4,700.74 : x
  2. Step 2: Convert to fraction form
    4,813.06/7,204.46 = 4,700.74/x
  3. Step 3: Cross multiply
    4,813.06x = 7,204.46 × 4,700.74
  4. Step 4: Simplify right side
    4,813.06x = 33,866,293.30
  5. Step 5: Solve for x
    x = 33,866,293.30/4,813.06
  6. Step 6: Final answer
    x = 7,036.33

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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.