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Finding the Fourth Proportional to 8,597.06, 11,864.13 and 4,871.06

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Solution

The fourth proportional to 8,597.06, 11,864.13 and 4,871.06 is: 6,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.06 : 11,864.13 = 4,871.06 : x
  2. Step 2: Convert to fraction form
    8,597.06/11,864.13 = 4,871.06/x
  3. Step 3: Cross multiply
    8,597.06x = 11,864.13 × 4,871.06
  4. Step 4: Simplify right side
    8,597.06x = 57,790,900.47
  5. Step 5: Solve for x
    x = 57,790,900.47/8,597.06
  6. Step 6: Final answer
    x = 6,722.17

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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.