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Finding the Fourth Proportional to 6,705.65, 10,058.60 and 2,323.25

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Solution

The fourth proportional to 6,705.65, 10,058.60 and 2,323.25 is: 3,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.65 : 10,058.60 = 2,323.25 : x
  2. Step 2: Convert to fraction form
    6,705.65/10,058.60 = 2,323.25/x
  3. Step 3: Cross multiply
    6,705.65x = 10,058.60 × 2,323.25
  4. Step 4: Simplify right side
    6,705.65x = 23,368,580.54
  5. Step 5: Solve for x
    x = 23,368,580.54/6,705.65
  6. Step 6: Final answer
    x = 3,484.91

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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.