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Finding the Fourth Proportional to 9,894.52, 14,822.57 and 8,842.96

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Solution

The fourth proportional to 9,894.52, 14,822.57 and 8,842.96 is: 13,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.52 : 14,822.57 = 8,842.96 : x
  2. Step 2: Convert to fraction form
    9,894.52/14,822.57 = 8,842.96/x
  3. Step 3: Cross multiply
    9,894.52x = 14,822.57 × 8,842.96
  4. Step 4: Simplify right side
    9,894.52x = 131,075,349.39
  5. Step 5: Solve for x
    x = 131,075,349.39/9,894.52
  6. Step 6: Final answer
    x = 13,247.27

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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.