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Finding the Fourth Proportional to 5,154, 7,114.68 and 3,662.16

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Solution

The fourth proportional to 5,154, 7,114.68 and 3,662.16 is: 5,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 7,114.68 = 3,662.16 : x
  2. Step 2: Convert to fraction form
    5,154/7,114.68 = 3,662.16/x
  3. Step 3: Cross multiply
    5,154x = 7,114.68 × 3,662.16
  4. Step 4: Simplify right side
    5,154x = 26,055,096.51
  5. Step 5: Solve for x
    x = 26,055,096.51/5,154
  6. Step 6: Final answer
    x = 5,055.32

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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.