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Finding the Fourth Proportional to 5,144.70, 7,111.35 and 4,736.46

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Solution

The fourth proportional to 5,144.70, 7,111.35 and 4,736.46 is: 6,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.70 : 7,111.35 = 4,736.46 : x
  2. Step 2: Convert to fraction form
    5,144.70/7,111.35 = 4,736.46/x
  3. Step 3: Cross multiply
    5,144.70x = 7,111.35 × 4,736.46
  4. Step 4: Simplify right side
    5,144.70x = 33,682,624.82
  5. Step 5: Solve for x
    x = 33,682,624.82/5,144.70
  6. Step 6: Final answer
    x = 6,547.05

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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.