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Finding the Fourth Proportional to 13,020.76, 17,969.76 and 7,356.55

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Solution

The fourth proportional to 13,020.76, 17,969.76 and 7,356.55 is: 10,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.76 : 17,969.76 = 7,356.55 : x
  2. Step 2: Convert to fraction form
    13,020.76/17,969.76 = 7,356.55/x
  3. Step 3: Cross multiply
    13,020.76x = 17,969.76 × 7,356.55
  4. Step 4: Simplify right side
    13,020.76x = 132,195,437.93
  5. Step 5: Solve for x
    x = 132,195,437.93/13,020.76
  6. Step 6: Final answer
    x = 10,152.67

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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.