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Finding the Fourth Proportional to 5,646.36, 7,806.82 and 4,945.72

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Solution

The fourth proportional to 5,646.36, 7,806.82 and 4,945.72 is: 6,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.36 : 7,806.82 = 4,945.72 : x
  2. Step 2: Convert to fraction form
    5,646.36/7,806.82 = 4,945.72/x
  3. Step 3: Cross multiply
    5,646.36x = 7,806.82 × 4,945.72
  4. Step 4: Simplify right side
    5,646.36x = 38,610,345.81
  5. Step 5: Solve for x
    x = 38,610,345.81/5,646.36
  6. Step 6: Final answer
    x = 6,838.09

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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.