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Finding the Fourth Proportional to 4,713.10, 6,487.42 and 4,155

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Solution

The fourth proportional to 4,713.10, 6,487.42 and 4,155 is: 5,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.10 : 6,487.42 = 4,155 : x
  2. Step 2: Convert to fraction form
    4,713.10/6,487.42 = 4,155/x
  3. Step 3: Cross multiply
    4,713.10x = 6,487.42 × 4,155
  4. Step 4: Simplify right side
    4,713.10x = 26,955,230.10
  5. Step 5: Solve for x
    x = 26,955,230.10/4,713.10
  6. Step 6: Final answer
    x = 5,719.21

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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.