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Finding the Fourth Proportional to 13,000.76, 19,502.10 and 3,767.48

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Solution

The fourth proportional to 13,000.76, 19,502.10 and 3,767.48 is: 5,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.76 : 19,502.10 = 3,767.48 : x
  2. Step 2: Convert to fraction form
    13,000.76/19,502.10 = 3,767.48/x
  3. Step 3: Cross multiply
    13,000.76x = 19,502.10 × 3,767.48
  4. Step 4: Simplify right side
    13,000.76x = 73,473,771.71
  5. Step 5: Solve for x
    x = 73,473,771.71/13,000.76
  6. Step 6: Final answer
    x = 5,651.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.