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Finding the Fourth Proportional to 13,000.76, 17,941.04 and 7,335.50

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Solution

The fourth proportional to 13,000.76, 17,941.04 and 7,335.50 is: 10,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.76 : 17,941.04 = 7,335.50 : x
  2. Step 2: Convert to fraction form
    13,000.76/17,941.04 = 7,335.50/x
  3. Step 3: Cross multiply
    13,000.76x = 17,941.04 × 7,335.50
  4. Step 4: Simplify right side
    13,000.76x = 131,606,462.24
  5. Step 5: Solve for x
    x = 131,606,462.24/13,000.76
  6. Step 6: Final answer
    x = 10,122.98

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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.