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Finding the Fourth Proportional to 10,646.80, 14,676.82 and 6,818.01

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Solution

The fourth proportional to 10,646.80, 14,676.82 and 6,818.01 is: 9,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.80 : 14,676.82 = 6,818.01 : x
  2. Step 2: Convert to fraction form
    10,646.80/14,676.82 = 6,818.01/x
  3. Step 3: Cross multiply
    10,646.80x = 14,676.82 × 6,818.01
  4. Step 4: Simplify right side
    10,646.80x = 100,066,714.54
  5. Step 5: Solve for x
    x = 100,066,714.54/10,646.80
  6. Step 6: Final answer
    x = 9,398.76

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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.