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Finding the Fourth Proportional to 7,232.63, 9,981.97 and 4,088.81

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Solution

The fourth proportional to 7,232.63, 9,981.97 and 4,088.81 is: 5,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.63 : 9,981.97 = 4,088.81 : x
  2. Step 2: Convert to fraction form
    7,232.63/9,981.97 = 4,088.81/x
  3. Step 3: Cross multiply
    7,232.63x = 9,981.97 × 4,088.81
  4. Step 4: Simplify right side
    7,232.63x = 40,814,393.49
  5. Step 5: Solve for x
    x = 40,814,393.49/7,232.63
  6. Step 6: Final answer
    x = 5,643.10

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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.