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Finding the Fourth Proportional to 10,019.87, 13,827.80 and 5,482.85

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Solution

The fourth proportional to 10,019.87, 13,827.80 and 5,482.85 is: 7,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.87 : 13,827.80 = 5,482.85 : x
  2. Step 2: Convert to fraction form
    10,019.87/13,827.80 = 5,482.85/x
  3. Step 3: Cross multiply
    10,019.87x = 13,827.80 × 5,482.85
  4. Step 4: Simplify right side
    10,019.87x = 75,815,801.51
  5. Step 5: Solve for x
    x = 75,815,801.51/10,019.87
  6. Step 6: Final answer
    x = 7,566.55

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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.