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Finding the Fourth Proportional to 8,497.72, 11,727.58 and 4,962.06

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Solution

The fourth proportional to 8,497.72, 11,727.58 and 4,962.06 is: 6,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.72 : 11,727.58 = 4,962.06 : x
  2. Step 2: Convert to fraction form
    8,497.72/11,727.58 = 4,962.06/x
  3. Step 3: Cross multiply
    8,497.72x = 11,727.58 × 4,962.06
  4. Step 4: Simplify right side
    8,497.72x = 58,192,955.61
  5. Step 5: Solve for x
    x = 58,192,955.61/8,497.72
  6. Step 6: Final answer
    x = 6,848.07

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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.