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Finding the Fourth Proportional to 9,274.77, 13,921.27 and 6,802.55

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Solution

The fourth proportional to 9,274.77, 13,921.27 and 6,802.55 is: 10,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.77 : 13,921.27 = 6,802.55 : x
  2. Step 2: Convert to fraction form
    9,274.77/13,921.27 = 6,802.55/x
  3. Step 3: Cross multiply
    9,274.77x = 13,921.27 × 6,802.55
  4. Step 4: Simplify right side
    9,274.77x = 94,700,100.83
  5. Step 5: Solve for x
    x = 94,700,100.83/9,274.77
  6. Step 6: Final answer
    x = 10,210.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.