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Finding the Fourth Proportional to 8,203.42, 12,284.54 and 5,070.54

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Solution

The fourth proportional to 8,203.42, 12,284.54 and 5,070.54 is: 7,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.42 : 12,284.54 = 5,070.54 : x
  2. Step 2: Convert to fraction form
    8,203.42/12,284.54 = 5,070.54/x
  3. Step 3: Cross multiply
    8,203.42x = 12,284.54 × 5,070.54
  4. Step 4: Simplify right side
    8,203.42x = 62,289,251.45
  5. Step 5: Solve for x
    x = 62,289,251.45/8,203.42
  6. Step 6: Final answer
    x = 7,593.08

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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.