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Finding the Fourth Proportional to 13,803.64, 19,048.94 and 7,515.96

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Solution

The fourth proportional to 13,803.64, 19,048.94 and 7,515.96 is: 10,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.64 : 19,048.94 = 7,515.96 : x
  2. Step 2: Convert to fraction form
    13,803.64/19,048.94 = 7,515.96/x
  3. Step 3: Cross multiply
    13,803.64x = 19,048.94 × 7,515.96
  4. Step 4: Simplify right side
    13,803.64x = 143,171,071.08
  5. Step 5: Solve for x
    x = 143,171,071.08/13,803.64
  6. Step 6: Final answer
    x = 10,371.98

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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.