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Finding the Fourth Proportional to 5,511.70, 7,606.10 and 4,714.00

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Solution

The fourth proportional to 5,511.70, 7,606.10 and 4,714.00 is: 6,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.70 : 7,606.10 = 4,714.00 : x
  2. Step 2: Convert to fraction form
    5,511.70/7,606.10 = 4,714.00/x
  3. Step 3: Cross multiply
    5,511.70x = 7,606.10 × 4,714.00
  4. Step 4: Simplify right side
    5,511.70x = 35,855,148.17
  5. Step 5: Solve for x
    x = 35,855,148.17/5,511.70
  6. Step 6: Final answer
    x = 6,505.28

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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.