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Finding the Fourth Proportional to 9,351, 14,015.74 and 3,798.25

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Solution

The fourth proportional to 9,351, 14,015.74 and 3,798.25 is: 5,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 14,015.74 = 3,798.25 : x
  2. Step 2: Convert to fraction form
    9,351/14,015.74 = 3,798.25/x
  3. Step 3: Cross multiply
    9,351x = 14,015.74 × 3,798.25
  4. Step 4: Simplify right side
    9,351x = 53,235,284.46
  5. Step 5: Solve for x
    x = 53,235,284.46/9,351
  6. Step 6: Final answer
    x = 5,693.00

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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.