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Finding the Fourth Proportional to 14,866.82, 22,303.12 and 5,506.90

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Solution

The fourth proportional to 14,866.82, 22,303.12 and 5,506.90 is: 8,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.82 : 22,303.12 = 5,506.90 : x
  2. Step 2: Convert to fraction form
    14,866.82/22,303.12 = 5,506.90/x
  3. Step 3: Cross multiply
    14,866.82x = 22,303.12 × 5,506.90
  4. Step 4: Simplify right side
    14,866.82x = 122,821,051.53
  5. Step 5: Solve for x
    x = 122,821,051.53/14,866.82
  6. Step 6: Final answer
    x = 8,261.42

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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.