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Finding the Fourth Proportional to 13,850.60, 19,114.56 and 7,563

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Solution

The fourth proportional to 13,850.60, 19,114.56 and 7,563 is: 10,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.60 : 19,114.56 = 7,563 : x
  2. Step 2: Convert to fraction form
    13,850.60/19,114.56 = 7,563/x
  3. Step 3: Cross multiply
    13,850.60x = 19,114.56 × 7,563
  4. Step 4: Simplify right side
    13,850.60x = 144,563,417.28
  5. Step 5: Solve for x
    x = 144,563,417.28/13,850.60
  6. Step 6: Final answer
    x = 10,437.34

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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.