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Finding the Fourth Proportional to 8,497.90, 11,727.86 and 4,962.25

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Solution

The fourth proportional to 8,497.90, 11,727.86 and 4,962.25 is: 6,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.90 : 11,727.86 = 4,962.25 : x
  2. Step 2: Convert to fraction form
    8,497.90/11,727.86 = 4,962.25/x
  3. Step 3: Cross multiply
    8,497.90x = 11,727.86 × 4,962.25
  4. Step 4: Simplify right side
    8,497.90x = 58,196,573.29
  5. Step 5: Solve for x
    x = 58,196,573.29/8,497.90
  6. Step 6: Final answer
    x = 6,848.35

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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.