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Finding the Fourth Proportional to 9,858.96, 14,772.36 and 6,573.36

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Solution

The fourth proportional to 9,858.96, 14,772.36 and 6,573.36 is: 9,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.96 : 14,772.36 = 6,573.36 : x
  2. Step 2: Convert to fraction form
    9,858.96/14,772.36 = 6,573.36/x
  3. Step 3: Cross multiply
    9,858.96x = 14,772.36 × 6,573.36
  4. Step 4: Simplify right side
    9,858.96x = 97,104,040.33
  5. Step 5: Solve for x
    x = 97,104,040.33/9,858.96
  6. Step 6: Final answer
    x = 9,849.32

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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.