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Finding the Fourth Proportional to 15,866.69, 23,800.05 and 6,504.98

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Solution

The fourth proportional to 15,866.69, 23,800.05 and 6,504.98 is: 9,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.69 : 23,800.05 = 6,504.98 : x
  2. Step 2: Convert to fraction form
    15,866.69/23,800.05 = 6,504.98/x
  3. Step 3: Cross multiply
    15,866.69x = 23,800.05 × 6,504.98
  4. Step 4: Simplify right side
    15,866.69x = 154,818,730.25
  5. Step 5: Solve for x
    x = 154,818,730.25/15,866.69
  6. Step 6: Final answer
    x = 9,757.47

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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.