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Finding the Fourth Proportional to 23,666.87, 35,507.13 and 7,656.05

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Solution

The fourth proportional to 23,666.87, 35,507.13 and 7,656.05 is: 11,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.87 : 35,507.13 = 7,656.05 : x
  2. Step 2: Convert to fraction form
    23,666.87/35,507.13 = 7,656.05/x
  3. Step 3: Cross multiply
    23,666.87x = 35,507.13 × 7,656.05
  4. Step 4: Simplify right side
    23,666.87x = 271,844,362.64
  5. Step 5: Solve for x
    x = 271,844,362.64/23,666.87
  6. Step 6: Final answer
    x = 11,486.28

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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.