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Finding the Fourth Proportional to 10,153.15, 14,011.89 and 5,676.89

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Solution

The fourth proportional to 10,153.15, 14,011.89 and 5,676.89 is: 7,834.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.15 : 14,011.89 = 5,676.89 : x
  2. Step 2: Convert to fraction form
    10,153.15/14,011.89 = 5,676.89/x
  3. Step 3: Cross multiply
    10,153.15x = 14,011.89 × 5,676.89
  4. Step 4: Simplify right side
    10,153.15x = 79,543,866.87
  5. Step 5: Solve for x
    x = 79,543,866.87/10,153.15
  6. Step 6: Final answer
    x = 7,834.40

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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.