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Finding the Fourth Proportional to 6,676.17, 9,970.71 and 5,678.35

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Solution

The fourth proportional to 6,676.17, 9,970.71 and 5,678.35 is: 8,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.17 : 9,970.71 = 5,678.35 : x
  2. Step 2: Convert to fraction form
    6,676.17/9,970.71 = 5,678.35/x
  3. Step 3: Cross multiply
    6,676.17x = 9,970.71 × 5,678.35
  4. Step 4: Simplify right side
    6,676.17x = 56,617,165.20
  5. Step 5: Solve for x
    x = 56,617,165.20/6,676.17
  6. Step 6: Final answer
    x = 8,480.49

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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.