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Finding the Fourth Proportional to 13,901.65, 19,184.13 and 7,528.08

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Solution

The fourth proportional to 13,901.65, 19,184.13 and 7,528.08 is: 10,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.65 : 19,184.13 = 7,528.08 : x
  2. Step 2: Convert to fraction form
    13,901.65/19,184.13 = 7,528.08/x
  3. Step 3: Cross multiply
    13,901.65x = 19,184.13 × 7,528.08
  4. Step 4: Simplify right side
    13,901.65x = 144,419,665.37
  5. Step 5: Solve for x
    x = 144,419,665.37/13,901.65
  6. Step 6: Final answer
    x = 10,388.67

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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.