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Finding the Fourth Proportional to 9,833.68, 14,741.80 and 7,053.36

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Solution

The fourth proportional to 9,833.68, 14,741.80 and 7,053.36 is: 10,573.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.68 : 14,741.80 = 7,053.36 : x
  2. Step 2: Convert to fraction form
    9,833.68/14,741.80 = 7,053.36/x
  3. Step 3: Cross multiply
    9,833.68x = 14,741.80 × 7,053.36
  4. Step 4: Simplify right side
    9,833.68x = 103,979,222.45
  5. Step 5: Solve for x
    x = 103,979,222.45/9,833.68
  6. Step 6: Final answer
    x = 10,573.79

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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.