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Finding the Fourth Proportional to 4,550.74, 6,824.88 and 1,953.07

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Solution

The fourth proportional to 4,550.74, 6,824.88 and 1,953.07 is: 2,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.74 : 6,824.88 = 1,953.07 : x
  2. Step 2: Convert to fraction form
    4,550.74/6,824.88 = 1,953.07/x
  3. Step 3: Cross multiply
    4,550.74x = 6,824.88 × 1,953.07
  4. Step 4: Simplify right side
    4,550.74x = 13,329,468.38
  5. Step 5: Solve for x
    x = 13,329,468.38/4,550.74
  6. Step 6: Final answer
    x = 2,929.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.