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Finding the Fourth Proportional to 5,283.46, 7,922.35 and 5,056.25

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Solution

The fourth proportional to 5,283.46, 7,922.35 and 5,056.25 is: 7,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.46 : 7,922.35 = 5,056.25 : x
  2. Step 2: Convert to fraction form
    5,283.46/7,922.35 = 5,056.25/x
  3. Step 3: Cross multiply
    5,283.46x = 7,922.35 × 5,056.25
  4. Step 4: Simplify right side
    5,283.46x = 40,057,356.91
  5. Step 5: Solve for x
    x = 40,057,356.91/5,283.46
  6. Step 6: Final answer
    x = 7,581.66

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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.