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Finding the Fourth Proportional to 9,995.34, 13,794 and 5,519.10

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Solution

The fourth proportional to 9,995.34, 13,794 and 5,519.10 is: 7,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.34 : 13,794 = 5,519.10 : x
  2. Step 2: Convert to fraction form
    9,995.34/13,794 = 5,519.10/x
  3. Step 3: Cross multiply
    9,995.34x = 13,794 × 5,519.10
  4. Step 4: Simplify right side
    9,995.34x = 76,130,465.40
  5. Step 5: Solve for x
    x = 76,130,465.40/9,995.34
  6. Step 6: Final answer
    x = 7,616.60

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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.