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Finding the Fourth Proportional to 15,578.70, 23,365.83 and 5,047.35

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Solution

The fourth proportional to 15,578.70, 23,365.83 and 5,047.35 is: 7,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.70 : 23,365.83 = 5,047.35 : x
  2. Step 2: Convert to fraction form
    15,578.70/23,365.83 = 5,047.35/x
  3. Step 3: Cross multiply
    15,578.70x = 23,365.83 × 5,047.35
  4. Step 4: Simplify right side
    15,578.70x = 117,935,522.05
  5. Step 5: Solve for x
    x = 117,935,522.05/15,578.70
  6. Step 6: Final answer
    x = 7,570.31

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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.