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Finding the Fourth Proportional to 9,114.06, 13,664.06 and 4,180.14

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Solution

The fourth proportional to 9,114.06, 13,664.06 and 4,180.14 is: 6,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.06 : 13,664.06 = 4,180.14 : x
  2. Step 2: Convert to fraction form
    9,114.06/13,664.06 = 4,180.14/x
  3. Step 3: Cross multiply
    9,114.06x = 13,664.06 × 4,180.14
  4. Step 4: Simplify right side
    9,114.06x = 57,117,683.77
  5. Step 5: Solve for x
    x = 57,117,683.77/9,114.06
  6. Step 6: Final answer
    x = 6,266.99

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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.