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Finding the Fourth Proportional to 9,807, 14,714.46 and 4,257.42

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Solution

The fourth proportional to 9,807, 14,714.46 and 4,257.42 is: 6,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807 : 14,714.46 = 4,257.42 : x
  2. Step 2: Convert to fraction form
    9,807/14,714.46 = 4,257.42/x
  3. Step 3: Cross multiply
    9,807x = 14,714.46 × 4,257.42
  4. Step 4: Simplify right side
    9,807x = 62,645,636.29
  5. Step 5: Solve for x
    x = 62,645,636.29/9,807
  6. Step 6: Final answer
    x = 6,387.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.