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Finding the Fourth Proportional to 8,281.02, 12,421.93 and 2,734.24

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Solution

The fourth proportional to 8,281.02, 12,421.93 and 2,734.24 is: 4,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.02 : 12,421.93 = 2,734.24 : x
  2. Step 2: Convert to fraction form
    8,281.02/12,421.93 = 2,734.24/x
  3. Step 3: Cross multiply
    8,281.02x = 12,421.93 × 2,734.24
  4. Step 4: Simplify right side
    8,281.02x = 33,964,588.51
  5. Step 5: Solve for x
    x = 33,964,588.51/8,281.02
  6. Step 6: Final answer
    x = 4,101.50

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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.