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Finding the Fourth Proportional to 7,794.59, 10,734.66 and 7,294.30

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Solution

The fourth proportional to 7,794.59, 10,734.66 and 7,294.30 is: 10,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.59 : 10,734.66 = 7,294.30 : x
  2. Step 2: Convert to fraction form
    7,794.59/10,734.66 = 7,294.30/x
  3. Step 3: Cross multiply
    7,794.59x = 10,734.66 × 7,294.30
  4. Step 4: Simplify right side
    7,794.59x = 78,301,803.60
  5. Step 5: Solve for x
    x = 78,301,803.60/7,794.59
  6. Step 6: Final answer
    x = 10,045.67

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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.