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Finding the Fourth Proportional to 8,564.29, 11,820.06 and 5,208.16

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Solution

The fourth proportional to 8,564.29, 11,820.06 and 5,208.16 is: 7,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.29 : 11,820.06 = 5,208.16 : x
  2. Step 2: Convert to fraction form
    8,564.29/11,820.06 = 5,208.16/x
  3. Step 3: Cross multiply
    8,564.29x = 11,820.06 × 5,208.16
  4. Step 4: Simplify right side
    8,564.29x = 61,560,763.69
  5. Step 5: Solve for x
    x = 61,560,763.69/8,564.29
  6. Step 6: Final answer
    x = 7,188.08

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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.