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Finding the Fourth Proportional to 16,283.70, 24,428.70 and 6,923.70

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Solution

The fourth proportional to 16,283.70, 24,428.70 and 6,923.70 is: 10,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.70 : 24,428.70 = 6,923.70 : x
  2. Step 2: Convert to fraction form
    16,283.70/24,428.70 = 6,923.70/x
  3. Step 3: Cross multiply
    16,283.70x = 24,428.70 × 6,923.70
  4. Step 4: Simplify right side
    16,283.70x = 169,136,990.19
  5. Step 5: Solve for x
    x = 169,136,990.19/16,283.70
  6. Step 6: Final answer
    x = 10,386.89

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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.