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Finding the Fourth Proportional to 5,943.34, 8,915.49 and 1,783.06

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Solution

The fourth proportional to 5,943.34, 8,915.49 and 1,783.06 is: 2,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.34 : 8,915.49 = 1,783.06 : x
  2. Step 2: Convert to fraction form
    5,943.34/8,915.49 = 1,783.06/x
  3. Step 3: Cross multiply
    5,943.34x = 8,915.49 × 1,783.06
  4. Step 4: Simplify right side
    5,943.34x = 15,896,853.60
  5. Step 5: Solve for x
    x = 15,896,853.60/5,943.34
  6. Step 6: Final answer
    x = 2,674.73

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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.