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Finding the Fourth Proportional to 13,772.52, 19,005.53 and 7,484.76

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Solution

The fourth proportional to 13,772.52, 19,005.53 and 7,484.76 is: 10,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.52 : 19,005.53 = 7,484.76 : x
  2. Step 2: Convert to fraction form
    13,772.52/19,005.53 = 7,484.76/x
  3. Step 3: Cross multiply
    13,772.52x = 19,005.53 × 7,484.76
  4. Step 4: Simplify right side
    13,772.52x = 142,251,793.30
  5. Step 5: Solve for x
    x = 142,251,793.30/13,772.52
  6. Step 6: Final answer
    x = 10,328.67

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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.