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Finding the Fourth Proportional to 7,277.60, 10,862.92 and 7,034.24

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Solution

The fourth proportional to 7,277.60, 10,862.92 and 7,034.24 is: 10,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.60 : 10,862.92 = 7,034.24 : x
  2. Step 2: Convert to fraction form
    7,277.60/10,862.92 = 7,034.24/x
  3. Step 3: Cross multiply
    7,277.60x = 10,862.92 × 7,034.24
  4. Step 4: Simplify right side
    7,277.60x = 76,412,386.38
  5. Step 5: Solve for x
    x = 76,412,386.38/7,277.60
  6. Step 6: Final answer
    x = 10,499.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.