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Finding the Fourth Proportional to 10,714.96, 14,783.21 and 6,941.01

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Solution

The fourth proportional to 10,714.96, 14,783.21 and 6,941.01 is: 9,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.96 : 14,783.21 = 6,941.01 : x
  2. Step 2: Convert to fraction form
    10,714.96/14,783.21 = 6,941.01/x
  3. Step 3: Cross multiply
    10,714.96x = 14,783.21 × 6,941.01
  4. Step 4: Simplify right side
    10,714.96x = 102,610,455.20
  5. Step 5: Solve for x
    x = 102,610,455.20/10,714.96
  6. Step 6: Final answer
    x = 9,576.37

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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.