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Finding the Fourth Proportional to 7,802.91, 10,768.02 and 4,266.45

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Solution

The fourth proportional to 7,802.91, 10,768.02 and 4,266.45 is: 5,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.91 : 10,768.02 = 4,266.45 : x
  2. Step 2: Convert to fraction form
    7,802.91/10,768.02 = 4,266.45/x
  3. Step 3: Cross multiply
    7,802.91x = 10,768.02 × 4,266.45
  4. Step 4: Simplify right side
    7,802.91x = 45,941,218.93
  5. Step 5: Solve for x
    x = 45,941,218.93/7,802.91
  6. Step 6: Final answer
    x = 5,887.70

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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.