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Finding the Fourth Proportional to 5,009.65, 6,913.27 and 2,771.50

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Solution

The fourth proportional to 5,009.65, 6,913.27 and 2,771.50 is: 3,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.65 : 6,913.27 = 2,771.50 : x
  2. Step 2: Convert to fraction form
    5,009.65/6,913.27 = 2,771.50/x
  3. Step 3: Cross multiply
    5,009.65x = 6,913.27 × 2,771.50
  4. Step 4: Simplify right side
    5,009.65x = 19,160,127.81
  5. Step 5: Solve for x
    x = 19,160,127.81/5,009.65
  6. Step 6: Final answer
    x = 3,824.64

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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.