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Finding the Fourth Proportional to 9,649.86, 14,477.19 and 6,869.64

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Solution

The fourth proportional to 9,649.86, 14,477.19 and 6,869.64 is: 10,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.86 : 14,477.19 = 6,869.64 : x
  2. Step 2: Convert to fraction form
    9,649.86/14,477.19 = 6,869.64/x
  3. Step 3: Cross multiply
    9,649.86x = 14,477.19 × 6,869.64
  4. Step 4: Simplify right side
    9,649.86x = 99,453,083.51
  5. Step 5: Solve for x
    x = 99,453,083.51/9,649.86
  6. Step 6: Final answer
    x = 10,306.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.