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Finding the Fourth Proportional to 10,922.99, 16,384.48 and 4,678.97

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Solution

The fourth proportional to 10,922.99, 16,384.48 and 4,678.97 is: 7,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.99 : 16,384.48 = 4,678.97 : x
  2. Step 2: Convert to fraction form
    10,922.99/16,384.48 = 4,678.97/x
  3. Step 3: Cross multiply
    10,922.99x = 16,384.48 × 4,678.97
  4. Step 4: Simplify right side
    10,922.99x = 76,662,396.77
  5. Step 5: Solve for x
    x = 76,662,396.77/10,922.99
  6. Step 6: Final answer
    x = 7,018.45

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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.