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Finding the Fourth Proportional to 10,714.45, 16,006.52 and 6,935.45

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Solution

The fourth proportional to 10,714.45, 16,006.52 and 6,935.45 is: 10,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.45 : 16,006.52 = 6,935.45 : x
  2. Step 2: Convert to fraction form
    10,714.45/16,006.52 = 6,935.45/x
  3. Step 3: Cross multiply
    10,714.45x = 16,006.52 × 6,935.45
  4. Step 4: Simplify right side
    10,714.45x = 111,012,389.27
  5. Step 5: Solve for x
    x = 111,012,389.27/10,714.45
  6. Step 6: Final answer
    x = 10,361.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.