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Finding the Fourth Proportional to 13,460.33, 18,574.97 and 7,491.64

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Solution

The fourth proportional to 13,460.33, 18,574.97 and 7,491.64 is: 10,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.33 : 18,574.97 = 7,491.64 : x
  2. Step 2: Convert to fraction form
    13,460.33/18,574.97 = 7,491.64/x
  3. Step 3: Cross multiply
    13,460.33x = 18,574.97 × 7,491.64
  4. Step 4: Simplify right side
    13,460.33x = 139,156,988.25
  5. Step 5: Solve for x
    x = 139,156,988.25/13,460.33
  6. Step 6: Final answer
    x = 10,338.30

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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.