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Finding the Fourth Proportional to 8,520, 11,758.71 and 5,164.07

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Solution

The fourth proportional to 8,520, 11,758.71 and 5,164.07 is: 7,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520 : 11,758.71 = 5,164.07 : x
  2. Step 2: Convert to fraction form
    8,520/11,758.71 = 5,164.07/x
  3. Step 3: Cross multiply
    8,520x = 11,758.71 × 5,164.07
  4. Step 4: Simplify right side
    8,520x = 60,722,742.76
  5. Step 5: Solve for x
    x = 60,722,742.76/8,520
  6. Step 6: Final answer
    x = 7,127.08

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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.