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Finding the Fourth Proportional to 7,193.80, 9,929.94 and 5,307.56

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Solution

The fourth proportional to 7,193.80, 9,929.94 and 5,307.56 is: 7,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.80 : 9,929.94 = 5,307.56 : x
  2. Step 2: Convert to fraction form
    7,193.80/9,929.94 = 5,307.56/x
  3. Step 3: Cross multiply
    7,193.80x = 9,929.94 × 5,307.56
  4. Step 4: Simplify right side
    7,193.80x = 52,703,752.35
  5. Step 5: Solve for x
    x = 52,703,752.35/7,193.80
  6. Step 6: Final answer
    x = 7,326.27

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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.