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Finding the Fourth Proportional to 9,203.66, 12,701.12 and 5,224.84

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Solution

The fourth proportional to 9,203.66, 12,701.12 and 5,224.84 is: 7,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.66 : 12,701.12 = 5,224.84 : x
  2. Step 2: Convert to fraction form
    9,203.66/12,701.12 = 5,224.84/x
  3. Step 3: Cross multiply
    9,203.66x = 12,701.12 × 5,224.84
  4. Step 4: Simplify right side
    9,203.66x = 66,361,309.57
  5. Step 5: Solve for x
    x = 66,361,309.57/9,203.66
  6. Step 6: Final answer
    x = 7,210.32

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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.