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Finding the Fourth Proportional to 10,649.68, 14,682.22 and 7,458.68

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Solution

The fourth proportional to 10,649.68, 14,682.22 and 7,458.68 is: 10,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.68 : 14,682.22 = 7,458.68 : x
  2. Step 2: Convert to fraction form
    10,649.68/14,682.22 = 7,458.68/x
  3. Step 3: Cross multiply
    10,649.68x = 14,682.22 × 7,458.68
  4. Step 4: Simplify right side
    10,649.68x = 109,509,980.67
  5. Step 5: Solve for x
    x = 109,509,980.67/10,649.68
  6. Step 6: Final answer
    x = 10,282.94

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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.