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Finding the Fourth Proportional to 4,544.37, 6,813.63 and 1,913.58

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Solution

The fourth proportional to 4,544.37, 6,813.63 and 1,913.58 is: 2,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.37 : 6,813.63 = 1,913.58 : x
  2. Step 2: Convert to fraction form
    4,544.37/6,813.63 = 1,913.58/x
  3. Step 3: Cross multiply
    4,544.37x = 6,813.63 × 1,913.58
  4. Step 4: Simplify right side
    4,544.37x = 13,038,426.10
  5. Step 5: Solve for x
    x = 13,038,426.10/4,544.37
  6. Step 6: Final answer
    x = 2,869.14

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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.