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Finding the Fourth Proportional to 7,232.75, 9,981.06 and 4,088.94

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Solution

The fourth proportional to 7,232.75, 9,981.06 and 4,088.94 is: 5,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.75 : 9,981.06 = 4,088.94 : x
  2. Step 2: Convert to fraction form
    7,232.75/9,981.06 = 4,088.94/x
  3. Step 3: Cross multiply
    7,232.75x = 9,981.06 × 4,088.94
  4. Step 4: Simplify right side
    7,232.75x = 40,811,955.48
  5. Step 5: Solve for x
    x = 40,811,955.48/7,232.75
  6. Step 6: Final answer
    x = 5,642.66

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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.