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Finding the Fourth Proportional to 9,873.19, 13,625 and 5,396.94

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Solution

The fourth proportional to 9,873.19, 13,625 and 5,396.94 is: 7,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.19 : 13,625 = 5,396.94 : x
  2. Step 2: Convert to fraction form
    9,873.19/13,625 = 5,396.94/x
  3. Step 3: Cross multiply
    9,873.19x = 13,625 × 5,396.94
  4. Step 4: Simplify right side
    9,873.19x = 73,533,307.50
  5. Step 5: Solve for x
    x = 73,533,307.50/9,873.19
  6. Step 6: Final answer
    x = 7,447.78

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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.