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Finding the Fourth Proportional to 4,714.76, 7,072.16 and 1,636.76

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Solution

The fourth proportional to 4,714.76, 7,072.16 and 1,636.76 is: 2,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.76 : 7,072.16 = 1,636.76 : x
  2. Step 2: Convert to fraction form
    4,714.76/7,072.16 = 1,636.76/x
  3. Step 3: Cross multiply
    4,714.76x = 7,072.16 × 1,636.76
  4. Step 4: Simplify right side
    4,714.76x = 11,575,428.60
  5. Step 5: Solve for x
    x = 11,575,428.60/4,714.76
  6. Step 6: Final answer
    x = 2,455.15

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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.