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Finding the Fourth Proportional to 5,526.63, 7,628.72 and 4,936.14

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Solution

The fourth proportional to 5,526.63, 7,628.72 and 4,936.14 is: 6,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526.63 : 7,628.72 = 4,936.14 : x
  2. Step 2: Convert to fraction form
    5,526.63/7,628.72 = 4,936.14/x
  3. Step 3: Cross multiply
    5,526.63x = 7,628.72 × 4,936.14
  4. Step 4: Simplify right side
    5,526.63x = 37,656,405.26
  5. Step 5: Solve for x
    x = 37,656,405.26/5,526.63
  6. Step 6: Final answer
    x = 6,813.63

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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.