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Finding the Fourth Proportional to 6,037.54, 9,055.70 and 1,655.64

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Solution

The fourth proportional to 6,037.54, 9,055.70 and 1,655.64 is: 2,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.54 : 9,055.70 = 1,655.64 : x
  2. Step 2: Convert to fraction form
    6,037.54/9,055.70 = 1,655.64/x
  3. Step 3: Cross multiply
    6,037.54x = 9,055.70 × 1,655.64
  4. Step 4: Simplify right side
    6,037.54x = 14,992,977.08
  5. Step 5: Solve for x
    x = 14,992,977.08/6,037.54
  6. Step 6: Final answer
    x = 2,483.29

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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.