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Finding the Fourth Proportional to 7,094.98, 10,642.47 and 2,164.65

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Solution

The fourth proportional to 7,094.98, 10,642.47 and 2,164.65 is: 3,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.98 : 10,642.47 = 2,164.65 : x
  2. Step 2: Convert to fraction form
    7,094.98/10,642.47 = 2,164.65/x
  3. Step 3: Cross multiply
    7,094.98x = 10,642.47 × 2,164.65
  4. Step 4: Simplify right side
    7,094.98x = 23,037,222.69
  5. Step 5: Solve for x
    x = 23,037,222.69/7,094.98
  6. Step 6: Final answer
    x = 3,246.98

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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.