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Finding the Fourth Proportional to 7,846.88, 10,829.65 and 4,534.88

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Solution

The fourth proportional to 7,846.88, 10,829.65 and 4,534.88 is: 6,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.88 : 10,829.65 = 4,534.88 : x
  2. Step 2: Convert to fraction form
    7,846.88/10,829.65 = 4,534.88/x
  3. Step 3: Cross multiply
    7,846.88x = 10,829.65 × 4,534.88
  4. Step 4: Simplify right side
    7,846.88x = 49,111,109.04
  5. Step 5: Solve for x
    x = 49,111,109.04/7,846.88
  6. Step 6: Final answer
    x = 6,258.68

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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.