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Finding the Fourth Proportional to 8,184.51, 11,294.07 and 4,827.15

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Solution

The fourth proportional to 8,184.51, 11,294.07 and 4,827.15 is: 6,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.51 : 11,294.07 = 4,827.15 : x
  2. Step 2: Convert to fraction form
    8,184.51/11,294.07 = 4,827.15/x
  3. Step 3: Cross multiply
    8,184.51x = 11,294.07 × 4,827.15
  4. Step 4: Simplify right side
    8,184.51x = 54,518,170.00
  5. Step 5: Solve for x
    x = 54,518,170.00/8,184.51
  6. Step 6: Final answer
    x = 6,661.14

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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.