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Finding the Fourth Proportional to 6,578.84, 9,783.72 and 6,371.26

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Solution

The fourth proportional to 6,578.84, 9,783.72 and 6,371.26 is: 9,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.84 : 9,783.72 = 6,371.26 : x
  2. Step 2: Convert to fraction form
    6,578.84/9,783.72 = 6,371.26/x
  3. Step 3: Cross multiply
    6,578.84x = 9,783.72 × 6,371.26
  4. Step 4: Simplify right side
    6,578.84x = 62,334,599.43
  5. Step 5: Solve for x
    x = 62,334,599.43/6,578.84
  6. Step 6: Final answer
    x = 9,475.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.