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Finding the Fourth Proportional to 8,552.64, 12,830.93 and 2,709.25

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Solution

The fourth proportional to 8,552.64, 12,830.93 and 2,709.25 is: 4,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.64 : 12,830.93 = 2,709.25 : x
  2. Step 2: Convert to fraction form
    8,552.64/12,830.93 = 2,709.25/x
  3. Step 3: Cross multiply
    8,552.64x = 12,830.93 × 2,709.25
  4. Step 4: Simplify right side
    8,552.64x = 34,762,197.10
  5. Step 5: Solve for x
    x = 34,762,197.10/8,552.64
  6. Step 6: Final answer
    x = 4,064.50

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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.