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Finding the Fourth Proportional to 4,666.70, 6,990.59 and 2,164.37

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Solution

The fourth proportional to 4,666.70, 6,990.59 and 2,164.37 is: 3,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.70 : 6,990.59 = 2,164.37 : x
  2. Step 2: Convert to fraction form
    4,666.70/6,990.59 = 2,164.37/x
  3. Step 3: Cross multiply
    4,666.70x = 6,990.59 × 2,164.37
  4. Step 4: Simplify right side
    4,666.70x = 15,130,177.50
  5. Step 5: Solve for x
    x = 15,130,177.50/4,666.70
  6. Step 6: Final answer
    x = 3,242.16

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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.