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Finding the Fourth Proportional to 7,833.54, 10,810.29 and 4,647.01

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Solution

The fourth proportional to 7,833.54, 10,810.29 and 4,647.01 is: 6,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.54 : 10,810.29 = 4,647.01 : x
  2. Step 2: Convert to fraction form
    7,833.54/10,810.29 = 4,647.01/x
  3. Step 3: Cross multiply
    7,833.54x = 10,810.29 × 4,647.01
  4. Step 4: Simplify right side
    7,833.54x = 50,235,525.73
  5. Step 5: Solve for x
    x = 50,235,525.73/7,833.54
  6. Step 6: Final answer
    x = 6,412.88

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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.