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Finding the Fourth Proportional to 8,762.16, 13,076.18 and 7,827.22

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Solution

The fourth proportional to 8,762.16, 13,076.18 and 7,827.22 is: 11,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.16 : 13,076.18 = 7,827.22 : x
  2. Step 2: Convert to fraction form
    8,762.16/13,076.18 = 7,827.22/x
  3. Step 3: Cross multiply
    8,762.16x = 13,076.18 × 7,827.22
  4. Step 4: Simplify right side
    8,762.16x = 102,350,072.24
  5. Step 5: Solve for x
    x = 102,350,072.24/8,762.16
  6. Step 6: Final answer
    x = 11,680.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.