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Finding the Fourth Proportional to 9,282.84, 13,905.71 and 5,583.04

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Solution

The fourth proportional to 9,282.84, 13,905.71 and 5,583.04 is: 8,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.84 : 13,905.71 = 5,583.04 : x
  2. Step 2: Convert to fraction form
    9,282.84/13,905.71 = 5,583.04/x
  3. Step 3: Cross multiply
    9,282.84x = 13,905.71 × 5,583.04
  4. Step 4: Simplify right side
    9,282.84x = 77,636,135.16
  5. Step 5: Solve for x
    x = 77,636,135.16/9,282.84
  6. Step 6: Final answer
    x = 8,363.40

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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.