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Finding the Fourth Proportional to 7,307.63, 10,961.34 and 6,840.67

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Solution

The fourth proportional to 7,307.63, 10,961.34 and 6,840.67 is: 10,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.63 : 10,961.34 = 6,840.67 : x
  2. Step 2: Convert to fraction form
    7,307.63/10,961.34 = 6,840.67/x
  3. Step 3: Cross multiply
    7,307.63x = 10,961.34 × 6,840.67
  4. Step 4: Simplify right side
    7,307.63x = 74,982,854.89
  5. Step 5: Solve for x
    x = 74,982,854.89/7,307.63
  6. Step 6: Final answer
    x = 10,260.90

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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.