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Finding the Fourth Proportional to 5,618.37, 7,746.14 and 4,606.37

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Solution

The fourth proportional to 5,618.37, 7,746.14 and 4,606.37 is: 6,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.37 : 7,746.14 = 4,606.37 : x
  2. Step 2: Convert to fraction form
    5,618.37/7,746.14 = 4,606.37/x
  3. Step 3: Cross multiply
    5,618.37x = 7,746.14 × 4,606.37
  4. Step 4: Simplify right side
    5,618.37x = 35,681,566.07
  5. Step 5: Solve for x
    x = 35,681,566.07/5,618.37
  6. Step 6: Final answer
    x = 6,350.88

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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.