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Finding the Fourth Proportional to 8,041.91, 11,094.12 and 5,210.23

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Solution

The fourth proportional to 8,041.91, 11,094.12 and 5,210.23 is: 7,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.91 : 11,094.12 = 5,210.23 : x
  2. Step 2: Convert to fraction form
    8,041.91/11,094.12 = 5,210.23/x
  3. Step 3: Cross multiply
    8,041.91x = 11,094.12 × 5,210.23
  4. Step 4: Simplify right side
    8,041.91x = 57,802,889.11
  5. Step 5: Solve for x
    x = 57,802,889.11/8,041.91
  6. Step 6: Final answer
    x = 7,187.71

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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.