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Finding the Fourth Proportional to 5,203.94, 7,805.69 and 1,506.09

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Solution

The fourth proportional to 5,203.94, 7,805.69 and 1,506.09 is: 2,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.94 : 7,805.69 = 1,506.09 : x
  2. Step 2: Convert to fraction form
    5,203.94/7,805.69 = 1,506.09/x
  3. Step 3: Cross multiply
    5,203.94x = 7,805.69 × 1,506.09
  4. Step 4: Simplify right side
    5,203.94x = 11,756,081.58
  5. Step 5: Solve for x
    x = 11,756,081.58/5,203.94
  6. Step 6: Final answer
    x = 2,259.07

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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.