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Finding the Fourth Proportional to 9,893.25, 13,652.69 and 5,477.25

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Solution

The fourth proportional to 9,893.25, 13,652.69 and 5,477.25 is: 7,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.25 : 13,652.69 = 5,477.25 : x
  2. Step 2: Convert to fraction form
    9,893.25/13,652.69 = 5,477.25/x
  3. Step 3: Cross multiply
    9,893.25x = 13,652.69 × 5,477.25
  4. Step 4: Simplify right side
    9,893.25x = 74,779,196.30
  5. Step 5: Solve for x
    x = 74,779,196.30/9,893.25
  6. Step 6: Final answer
    x = 7,558.61

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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.