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Finding the Fourth Proportional to 16,033.84, 24,051.64 and 4,948.16

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Solution

The fourth proportional to 16,033.84, 24,051.64 and 4,948.16 is: 7,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.84 : 24,051.64 = 4,948.16 : x
  2. Step 2: Convert to fraction form
    16,033.84/24,051.64 = 4,948.16/x
  3. Step 3: Cross multiply
    16,033.84x = 24,051.64 × 4,948.16
  4. Step 4: Simplify right side
    16,033.84x = 119,011,362.98
  5. Step 5: Solve for x
    x = 119,011,362.98/16,033.84
  6. Step 6: Final answer
    x = 7,422.51

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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.