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Finding the Fourth Proportional to 10,295.70, 14,208.07 and 5,579.98

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Solution

The fourth proportional to 10,295.70, 14,208.07 and 5,579.98 is: 7,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.70 : 14,208.07 = 5,579.98 : x
  2. Step 2: Convert to fraction form
    10,295.70/14,208.07 = 5,579.98/x
  3. Step 3: Cross multiply
    10,295.70x = 14,208.07 × 5,579.98
  4. Step 4: Simplify right side
    10,295.70x = 79,280,746.44
  5. Step 5: Solve for x
    x = 79,280,746.44/10,295.70
  6. Step 6: Final answer
    x = 7,700.37

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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.