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Finding the Fourth Proportional to 7,164.68, 9,887.72 and 4,770.56

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Solution

The fourth proportional to 7,164.68, 9,887.72 and 4,770.56 is: 6,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.68 : 9,887.72 = 4,770.56 : x
  2. Step 2: Convert to fraction form
    7,164.68/9,887.72 = 4,770.56/x
  3. Step 3: Cross multiply
    7,164.68x = 9,887.72 × 4,770.56
  4. Step 4: Simplify right side
    7,164.68x = 47,169,961.52
  5. Step 5: Solve for x
    x = 47,169,961.52/7,164.68
  6. Step 6: Final answer
    x = 6,583.68

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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.