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Finding the Fourth Proportional to 7,101.06, 9,802.80 and 4,714.80

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Solution

The fourth proportional to 7,101.06, 9,802.80 and 4,714.80 is: 6,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.06 : 9,802.80 = 4,714.80 : x
  2. Step 2: Convert to fraction form
    7,101.06/9,802.80 = 4,714.80/x
  3. Step 3: Cross multiply
    7,101.06x = 9,802.80 × 4,714.80
  4. Step 4: Simplify right side
    7,101.06x = 46,218,241.44
  5. Step 5: Solve for x
    x = 46,218,241.44/7,101.06
  6. Step 6: Final answer
    x = 6,508.64

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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.