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Finding the Fourth Proportional to 10,519.58, 15,797.74 and 9,696.62

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Solution

The fourth proportional to 10,519.58, 15,797.74 and 9,696.62 is: 14,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.58 : 15,797.74 = 9,696.62 : x
  2. Step 2: Convert to fraction form
    10,519.58/15,797.74 = 9,696.62/x
  3. Step 3: Cross multiply
    10,519.58x = 15,797.74 × 9,696.62
  4. Step 4: Simplify right side
    10,519.58x = 153,184,681.64
  5. Step 5: Solve for x
    x = 153,184,681.64/10,519.58
  6. Step 6: Final answer
    x = 14,561.86

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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.