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Finding the Fourth Proportional to 7,206.63, 9,945.48 and 4,062.81

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Solution

The fourth proportional to 7,206.63, 9,945.48 and 4,062.81 is: 5,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.63 : 9,945.48 = 4,062.81 : x
  2. Step 2: Convert to fraction form
    7,206.63/9,945.48 = 4,062.81/x
  3. Step 3: Cross multiply
    7,206.63x = 9,945.48 × 4,062.81
  4. Step 4: Simplify right side
    7,206.63x = 40,406,595.60
  5. Step 5: Solve for x
    x = 40,406,595.60/7,206.63
  6. Step 6: Final answer
    x = 5,606.86

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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.