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Finding the Fourth Proportional to 7,232.26, 9,980.26 and 4,088.38

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Solution

The fourth proportional to 7,232.26, 9,980.26 and 4,088.38 is: 5,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.26 : 9,980.26 = 4,088.38 : x
  2. Step 2: Convert to fraction form
    7,232.26/9,980.26 = 4,088.38/x
  3. Step 3: Cross multiply
    7,232.26x = 9,980.26 × 4,088.38
  4. Step 4: Simplify right side
    7,232.26x = 40,803,095.38
  5. Step 5: Solve for x
    x = 40,803,095.38/7,232.26
  6. Step 6: Final answer
    x = 5,641.82

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Half 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.