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Finding the Fourth Proportional to 7,802.80, 10,768.02 and 4,266.16

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Solution

The fourth proportional to 7,802.80, 10,768.02 and 4,266.16 is: 5,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.80 : 10,768.02 = 4,266.16 : x
  2. Step 2: Convert to fraction form
    7,802.80/10,768.02 = 4,266.16/x
  3. Step 3: Cross multiply
    7,802.80x = 10,768.02 × 4,266.16
  4. Step 4: Simplify right side
    7,802.80x = 45,938,096.20
  5. Step 5: Solve for x
    x = 45,938,096.20/7,802.80
  6. Step 6: Final answer
    x = 5,887.39

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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.