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Finding the Fourth Proportional to 10,714.71, 14,783.92 and 6,466.47

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Solution

The fourth proportional to 10,714.71, 14,783.92 and 6,466.47 is: 8,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.71 : 14,783.92 = 6,466.47 : x
  2. Step 2: Convert to fraction form
    10,714.71/14,783.92 = 6,466.47/x
  3. Step 3: Cross multiply
    10,714.71x = 14,783.92 × 6,466.47
  4. Step 4: Simplify right side
    10,714.71x = 95,599,703.56
  5. Step 5: Solve for x
    x = 95,599,703.56/10,714.71
  6. Step 6: Final answer
    x = 8,922.28

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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.