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Finding the Fourth Proportional to 9,770.70, 14,658.07 and 3,927.76

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Solution

The fourth proportional to 9,770.70, 14,658.07 and 3,927.76 is: 5,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.70 : 14,658.07 = 3,927.76 : x
  2. Step 2: Convert to fraction form
    9,770.70/14,658.07 = 3,927.76/x
  3. Step 3: Cross multiply
    9,770.70x = 14,658.07 × 3,927.76
  4. Step 4: Simplify right side
    9,770.70x = 57,573,381.02
  5. Step 5: Solve for x
    x = 57,573,381.02/9,770.70
  6. Step 6: Final answer
    x = 5,892.45

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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.