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Finding the Fourth Proportional to 16,307.33, 24,457.21 and 7,978.97

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Solution

The fourth proportional to 16,307.33, 24,457.21 and 7,978.97 is: 11,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.33 : 24,457.21 = 7,978.97 : x
  2. Step 2: Convert to fraction form
    16,307.33/24,457.21 = 7,978.97/x
  3. Step 3: Cross multiply
    16,307.33x = 24,457.21 × 7,978.97
  4. Step 4: Simplify right side
    16,307.33x = 195,143,386.07
  5. Step 5: Solve for x
    x = 195,143,386.07/16,307.33
  6. Step 6: Final answer
    x = 11,966.61

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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.