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Finding the Fourth Proportional to 8,923.14, 13,384.91 and 3,000.10

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Solution

The fourth proportional to 8,923.14, 13,384.91 and 3,000.10 is: 4,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.14 : 13,384.91 = 3,000.10 : x
  2. Step 2: Convert to fraction form
    8,923.14/13,384.91 = 3,000.10/x
  3. Step 3: Cross multiply
    8,923.14x = 13,384.91 × 3,000.10
  4. Step 4: Simplify right side
    8,923.14x = 40,156,068.49
  5. Step 5: Solve for x
    x = 40,156,068.49/8,923.14
  6. Step 6: Final answer
    x = 4,500.22

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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.