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Finding the Fourth Proportional to 9,583.84, 14,381.50 and 4,036.84

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Solution

The fourth proportional to 9,583.84, 14,381.50 and 4,036.84 is: 6,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.84 : 14,381.50 = 4,036.84 : x
  2. Step 2: Convert to fraction form
    9,583.84/14,381.50 = 4,036.84/x
  3. Step 3: Cross multiply
    9,583.84x = 14,381.50 × 4,036.84
  4. Step 4: Simplify right side
    9,583.84x = 58,055,814.46
  5. Step 5: Solve for x
    x = 58,055,814.46/9,583.84
  6. Step 6: Final answer
    x = 6,057.68

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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.