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Finding the Fourth Proportional to 7,802.52, 10,767.52 and 4,266.08

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Solution

The fourth proportional to 7,802.52, 10,767.52 and 4,266.08 is: 5,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.52 : 10,767.52 = 4,266.08 : x
  2. Step 2: Convert to fraction form
    7,802.52/10,767.52 = 4,266.08/x
  3. Step 3: Cross multiply
    7,802.52x = 10,767.52 × 4,266.08
  4. Step 4: Simplify right side
    7,802.52x = 45,935,101.72
  5. Step 5: Solve for x
    x = 45,935,101.72/7,802.52
  6. Step 6: Final answer
    x = 5,887.21

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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.