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Finding the Fourth Proportional to 6,279.48, 9,364.32 and 5,503.08

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Solution

The fourth proportional to 6,279.48, 9,364.32 and 5,503.08 is: 8,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.48 : 9,364.32 = 5,503.08 : x
  2. Step 2: Convert to fraction form
    6,279.48/9,364.32 = 5,503.08/x
  3. Step 3: Cross multiply
    6,279.48x = 9,364.32 × 5,503.08
  4. Step 4: Simplify right side
    6,279.48x = 51,532,602.11
  5. Step 5: Solve for x
    x = 51,532,602.11/6,279.48
  6. Step 6: Final answer
    x = 8,206.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.