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Finding the Fourth Proportional to 7,802.34, 10,766.97 and 4,656.66

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Solution

The fourth proportional to 7,802.34, 10,766.97 and 4,656.66 is: 6,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.34 : 10,766.97 = 4,656.66 : x
  2. Step 2: Convert to fraction form
    7,802.34/10,766.97 = 4,656.66/x
  3. Step 3: Cross multiply
    7,802.34x = 10,766.97 × 4,656.66
  4. Step 4: Simplify right side
    7,802.34x = 50,138,118.52
  5. Step 5: Solve for x
    x = 50,138,118.52/7,802.34
  6. Step 6: Final answer
    x = 6,426.04

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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.