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Finding the Fourth Proportional to 7,852.97, 10,830.78 and 4,863.16

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Solution

The fourth proportional to 7,852.97, 10,830.78 and 4,863.16 is: 6,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.97 : 10,830.78 = 4,863.16 : x
  2. Step 2: Convert to fraction form
    7,852.97/10,830.78 = 4,863.16/x
  3. Step 3: Cross multiply
    7,852.97x = 10,830.78 × 4,863.16
  4. Step 4: Simplify right side
    7,852.97x = 52,671,816.06
  5. Step 5: Solve for x
    x = 52,671,816.06/7,852.97
  6. Step 6: Final answer
    x = 6,707.25

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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.