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Finding the Fourth Proportional to 9,615.94, 14,412.06 and 6,827.51

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Solution

The fourth proportional to 9,615.94, 14,412.06 and 6,827.51 is: 10,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.94 : 14,412.06 = 6,827.51 : x
  2. Step 2: Convert to fraction form
    9,615.94/14,412.06 = 6,827.51/x
  3. Step 3: Cross multiply
    9,615.94x = 14,412.06 × 6,827.51
  4. Step 4: Simplify right side
    9,615.94x = 98,398,519.80
  5. Step 5: Solve for x
    x = 98,398,519.80/9,615.94
  6. Step 6: Final answer
    x = 10,232.86

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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.