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Finding the Fourth Proportional to 9,812.84, 14,722.95 and 4,550.36

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Solution

The fourth proportional to 9,812.84, 14,722.95 and 4,550.36 is: 6,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.84 : 14,722.95 = 4,550.36 : x
  2. Step 2: Convert to fraction form
    9,812.84/14,722.95 = 4,550.36/x
  3. Step 3: Cross multiply
    9,812.84x = 14,722.95 × 4,550.36
  4. Step 4: Simplify right side
    9,812.84x = 66,994,649.15
  5. Step 5: Solve for x
    x = 66,994,649.15/9,812.84
  6. Step 6: Final answer
    x = 6,827.25

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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.