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Finding the Fourth Proportional to 9,785.88, 13,496.76 and 7,132.32

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Solution

The fourth proportional to 9,785.88, 13,496.76 and 7,132.32 is: 9,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.88 : 13,496.76 = 7,132.32 : x
  2. Step 2: Convert to fraction form
    9,785.88/13,496.76 = 7,132.32/x
  3. Step 3: Cross multiply
    9,785.88x = 13,496.76 × 7,132.32
  4. Step 4: Simplify right side
    9,785.88x = 96,263,211.28
  5. Step 5: Solve for x
    x = 96,263,211.28/9,785.88
  6. Step 6: Final answer
    x = 9,836.95

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Half scale
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Double 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.