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Finding the Fourth Proportional to 9,537.12, 13,159.98 and 5,558.94

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Solution

The fourth proportional to 9,537.12, 13,159.98 and 5,558.94 is: 7,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.12 : 13,159.98 = 5,558.94 : x
  2. Step 2: Convert to fraction form
    9,537.12/13,159.98 = 5,558.94/x
  3. Step 3: Cross multiply
    9,537.12x = 13,159.98 × 5,558.94
  4. Step 4: Simplify right side
    9,537.12x = 73,155,539.22
  5. Step 5: Solve for x
    x = 73,155,539.22/9,537.12
  6. Step 6: Final answer
    x = 7,670.61

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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.