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Finding the Fourth Proportional to 9,726.72, 13,393.44 and 8,152.08

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Solution

The fourth proportional to 9,726.72, 13,393.44 and 8,152.08 is: 11,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.72 : 13,393.44 = 8,152.08 : x
  2. Step 2: Convert to fraction form
    9,726.72/13,393.44 = 8,152.08/x
  3. Step 3: Cross multiply
    9,726.72x = 13,393.44 × 8,152.08
  4. Step 4: Simplify right side
    9,726.72x = 109,184,394.36
  5. Step 5: Solve for x
    x = 109,184,394.36/9,726.72
  6. Step 6: Final answer
    x = 11,225.20

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Half scale
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Similar ratio
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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.