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Finding the Fourth Proportional to 9,884.34, 14,822.16 and 2,957.22

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Solution

The fourth proportional to 9,884.34, 14,822.16 and 2,957.22 is: 4,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.34 : 14,822.16 = 2,957.22 : x
  2. Step 2: Convert to fraction form
    9,884.34/14,822.16 = 2,957.22/x
  3. Step 3: Cross multiply
    9,884.34x = 14,822.16 × 2,957.22
  4. Step 4: Simplify right side
    9,884.34x = 43,832,388.00
  5. Step 5: Solve for x
    x = 43,832,388.00/9,884.34
  6. Step 6: Final answer
    x = 4,434.53

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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.