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Finding the Fourth Proportional to 8,597.84, 11,864.85 and 4,821.14

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Solution

The fourth proportional to 8,597.84, 11,864.85 and 4,821.14 is: 6,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.84 : 11,864.85 = 4,821.14 : x
  2. Step 2: Convert to fraction form
    8,597.84/11,864.85 = 4,821.14/x
  3. Step 3: Cross multiply
    8,597.84x = 11,864.85 × 4,821.14
  4. Step 4: Simplify right side
    8,597.84x = 57,202,043.60
  5. Step 5: Solve for x
    x = 57,202,043.60/8,597.84
  6. Step 6: Final answer
    x = 6,653.08

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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.