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Finding the Fourth Proportional to 16,298.80, 24,477.90 and 9,737.80

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Solution

The fourth proportional to 16,298.80, 24,477.90 and 9,737.80 is: 14,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.80 : 24,477.90 = 9,737.80 : x
  2. Step 2: Convert to fraction form
    16,298.80/24,477.90 = 9,737.80/x
  3. Step 3: Cross multiply
    16,298.80x = 24,477.90 × 9,737.80
  4. Step 4: Simplify right side
    16,298.80x = 238,360,894.62
  5. Step 5: Solve for x
    x = 238,360,894.62/16,298.80
  6. Step 6: Final answer
    x = 14,624.44

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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.