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Finding the Fourth Proportional to 7,053.56, 9,733.50 and 3,866.23

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Solution

The fourth proportional to 7,053.56, 9,733.50 and 3,866.23 is: 5,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.56 : 9,733.50 = 3,866.23 : x
  2. Step 2: Convert to fraction form
    7,053.56/9,733.50 = 3,866.23/x
  3. Step 3: Cross multiply
    7,053.56x = 9,733.50 × 3,866.23
  4. Step 4: Simplify right side
    7,053.56x = 37,631,925.37
  5. Step 5: Solve for x
    x = 37,631,925.37/7,053.56
  6. Step 6: Final answer
    x = 5,335.17

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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.