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Finding the Fourth Proportional to 9,859.81, 14,784.02 and 6,743.59

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Solution

The fourth proportional to 9,859.81, 14,784.02 and 6,743.59 is: 10,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.81 : 14,784.02 = 6,743.59 : x
  2. Step 2: Convert to fraction form
    9,859.81/14,784.02 = 6,743.59/x
  3. Step 3: Cross multiply
    9,859.81x = 14,784.02 × 6,743.59
  4. Step 4: Simplify right side
    9,859.81x = 99,697,324.04
  5. Step 5: Solve for x
    x = 99,697,324.04/9,859.81
  6. Step 6: Final answer
    x = 10,111.49

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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.