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Finding the Fourth Proportional to 8,547.84, 11,796.04 and 4,770.92

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Solution

The fourth proportional to 8,547.84, 11,796.04 and 4,770.92 is: 6,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.84 : 11,796.04 = 4,770.92 : x
  2. Step 2: Convert to fraction form
    8,547.84/11,796.04 = 4,770.92/x
  3. Step 3: Cross multiply
    8,547.84x = 11,796.04 × 4,770.92
  4. Step 4: Simplify right side
    8,547.84x = 56,277,963.16
  5. Step 5: Solve for x
    x = 56,277,963.16/8,547.84
  6. Step 6: Final answer
    x = 6,583.88

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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.