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Finding the Fourth Proportional to 6,307.70, 9,460.02 and 2,795.76

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Solution

The fourth proportional to 6,307.70, 9,460.02 and 2,795.76 is: 4,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.70 : 9,460.02 = 2,795.76 : x
  2. Step 2: Convert to fraction form
    6,307.70/9,460.02 = 2,795.76/x
  3. Step 3: Cross multiply
    6,307.70x = 9,460.02 × 2,795.76
  4. Step 4: Simplify right side
    6,307.70x = 26,447,945.52
  5. Step 5: Solve for x
    x = 26,447,945.52/6,307.70
  6. Step 6: Final answer
    x = 4,192.96

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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.