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Finding the Fourth Proportional to 7,005.78, 10,509.72 and 2,074.86

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Solution

The fourth proportional to 7,005.78, 10,509.72 and 2,074.86 is: 3,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.78 : 10,509.72 = 2,074.86 : x
  2. Step 2: Convert to fraction form
    7,005.78/10,509.72 = 2,074.86/x
  3. Step 3: Cross multiply
    7,005.78x = 10,509.72 × 2,074.86
  4. Step 4: Simplify right side
    7,005.78x = 21,806,197.64
  5. Step 5: Solve for x
    x = 21,806,197.64/7,005.78
  6. Step 6: Final answer
    x = 3,112.60

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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.