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Finding the Fourth Proportional to 9,283.84, 13,927.82 and 4,606.40

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Solution

The fourth proportional to 9,283.84, 13,927.82 and 4,606.40 is: 6,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.84 : 13,927.82 = 4,606.40 : x
  2. Step 2: Convert to fraction form
    9,283.84/13,927.82 = 4,606.40/x
  3. Step 3: Cross multiply
    9,283.84x = 13,927.82 × 4,606.40
  4. Step 4: Simplify right side
    9,283.84x = 64,157,110.05
  5. Step 5: Solve for x
    x = 64,157,110.05/9,283.84
  6. Step 6: Final answer
    x = 6,910.62

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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.