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Finding the Fourth Proportional to 10,009.58, 13,813.13 and 5,533.65

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Solution

The fourth proportional to 10,009.58, 13,813.13 and 5,533.65 is: 7,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.58 : 13,813.13 = 5,533.65 : x
  2. Step 2: Convert to fraction form
    10,009.58/13,813.13 = 5,533.65/x
  3. Step 3: Cross multiply
    10,009.58x = 13,813.13 × 5,533.65
  4. Step 4: Simplify right side
    10,009.58x = 76,437,040.66
  5. Step 5: Solve for x
    x = 76,437,040.66/10,009.58
  6. Step 6: Final answer
    x = 7,636.39

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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.