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Finding the Fourth Proportional to 9,570.72, 13,204 and 7,058.84

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Solution

The fourth proportional to 9,570.72, 13,204 and 7,058.84 is: 9,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.72 : 13,204 = 7,058.84 : x
  2. Step 2: Convert to fraction form
    9,570.72/13,204 = 7,058.84/x
  3. Step 3: Cross multiply
    9,570.72x = 13,204 × 7,058.84
  4. Step 4: Simplify right side
    9,570.72x = 93,204,923.36
  5. Step 5: Solve for x
    x = 93,204,923.36/9,570.72
  6. Step 6: Final answer
    x = 9,738.55

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Half scale
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Double scale
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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.