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Finding the Fourth Proportional to 6,714.30, 10,059.30 and 5,742.30

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Solution

The fourth proportional to 6,714.30, 10,059.30 and 5,742.30 is: 8,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.30 : 10,059.30 = 5,742.30 : x
  2. Step 2: Convert to fraction form
    6,714.30/10,059.30 = 5,742.30/x
  3. Step 3: Cross multiply
    6,714.30x = 10,059.30 × 5,742.30
  4. Step 4: Simplify right side
    6,714.30x = 57,763,518.39
  5. Step 5: Solve for x
    x = 57,763,518.39/6,714.30
  6. Step 6: Final answer
    x = 8,603.06

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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.