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Finding the Fourth Proportional to 9,676.70, 13,354.89 and 5,484.50

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Solution

The fourth proportional to 9,676.70, 13,354.89 and 5,484.50 is: 7,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.70 : 13,354.89 = 5,484.50 : x
  2. Step 2: Convert to fraction form
    9,676.70/13,354.89 = 5,484.50/x
  3. Step 3: Cross multiply
    9,676.70x = 13,354.89 × 5,484.50
  4. Step 4: Simplify right side
    9,676.70x = 73,244,894.21
  5. Step 5: Solve for x
    x = 73,244,894.21/9,676.70
  6. Step 6: Final answer
    x = 7,569.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.