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Finding the Fourth Proportional to 10,648.50, 14,690.07 and 7,295.10

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Solution

The fourth proportional to 10,648.50, 14,690.07 and 7,295.10 is: 10,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.50 : 14,690.07 = 7,295.10 : x
  2. Step 2: Convert to fraction form
    10,648.50/14,690.07 = 7,295.10/x
  3. Step 3: Cross multiply
    10,648.50x = 14,690.07 × 7,295.10
  4. Step 4: Simplify right side
    10,648.50x = 107,165,529.66
  5. Step 5: Solve for x
    x = 107,165,529.66/10,648.50
  6. Step 6: Final answer
    x = 10,063.91

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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.