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Finding the Fourth Proportional to 4,478.14, 6,719.16 and 1,705.66

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Solution

The fourth proportional to 4,478.14, 6,719.16 and 1,705.66 is: 2,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.14 : 6,719.16 = 1,705.66 : x
  2. Step 2: Convert to fraction form
    4,478.14/6,719.16 = 1,705.66/x
  3. Step 3: Cross multiply
    4,478.14x = 6,719.16 × 1,705.66
  4. Step 4: Simplify right side
    4,478.14x = 11,460,602.45
  5. Step 5: Solve for x
    x = 11,460,602.45/4,478.14
  6. Step 6: Final answer
    x = 2,559.23

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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.