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Finding the Fourth Proportional to 5,165.04, 7,746.12 and 1,877.52

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Solution

The fourth proportional to 5,165.04, 7,746.12 and 1,877.52 is: 2,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.04 : 7,746.12 = 1,877.52 : x
  2. Step 2: Convert to fraction form
    5,165.04/7,746.12 = 1,877.52/x
  3. Step 3: Cross multiply
    5,165.04x = 7,746.12 × 1,877.52
  4. Step 4: Simplify right side
    5,165.04x = 14,543,495.22
  5. Step 5: Solve for x
    x = 14,543,495.22/5,165.04
  6. Step 6: Final answer
    x = 2,815.76

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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.