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Finding the Fourth Proportional to 9,315.54, 13,973.34 and 5,845.50

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Solution

The fourth proportional to 9,315.54, 13,973.34 and 5,845.50 is: 8,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.54 : 13,973.34 = 5,845.50 : x
  2. Step 2: Convert to fraction form
    9,315.54/13,973.34 = 5,845.50/x
  3. Step 3: Cross multiply
    9,315.54x = 13,973.34 × 5,845.50
  4. Step 4: Simplify right side
    9,315.54x = 81,681,158.97
  5. Step 5: Solve for x
    x = 81,681,158.97/9,315.54
  6. Step 6: Final answer
    x = 8,768.27

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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.