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Finding the Fourth Proportional to 30,714.74, 46,072.09 and 9,656.31

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Solution

The fourth proportional to 30,714.74, 46,072.09 and 9,656.31 is: 14,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.74 : 46,072.09 = 9,656.31 : x
  2. Step 2: Convert to fraction form
    30,714.74/46,072.09 = 9,656.31/x
  3. Step 3: Cross multiply
    30,714.74x = 46,072.09 × 9,656.31
  4. Step 4: Simplify right side
    30,714.74x = 444,886,568.23
  5. Step 5: Solve for x
    x = 444,886,568.23/30,714.74
  6. Step 6: Final answer
    x = 14,484.46

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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.