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Finding the Fourth Proportional to 7,852.16, 11,781.20 and 4,927.20

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Solution

The fourth proportional to 7,852.16, 11,781.20 and 4,927.20 is: 7,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.16 : 11,781.20 = 4,927.20 : x
  2. Step 2: Convert to fraction form
    7,852.16/11,781.20 = 4,927.20/x
  3. Step 3: Cross multiply
    7,852.16x = 11,781.20 × 4,927.20
  4. Step 4: Simplify right side
    7,852.16x = 58,048,328.64
  5. Step 5: Solve for x
    x = 58,048,328.64/7,852.16
  6. Step 6: Final answer
    x = 7,392.66

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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.