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Finding the Fourth Proportional to 9,357.54, 12,912.93 and 5,164.98

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Solution

The fourth proportional to 9,357.54, 12,912.93 and 5,164.98 is: 7,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.54 : 12,912.93 = 5,164.98 : x
  2. Step 2: Convert to fraction form
    9,357.54/12,912.93 = 5,164.98/x
  3. Step 3: Cross multiply
    9,357.54x = 12,912.93 × 5,164.98
  4. Step 4: Simplify right side
    9,357.54x = 66,695,025.19
  5. Step 5: Solve for x
    x = 66,695,025.19/9,357.54
  6. Step 6: Final answer
    x = 7,127.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.