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Finding the Fourth Proportional to 23,857.64, 35,798.76 and 9,828.03

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Solution

The fourth proportional to 23,857.64, 35,798.76 and 9,828.03 is: 14,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.64 : 35,798.76 = 9,828.03 : x
  2. Step 2: Convert to fraction form
    23,857.64/35,798.76 = 9,828.03/x
  3. Step 3: Cross multiply
    23,857.64x = 35,798.76 × 9,828.03
  4. Step 4: Simplify right side
    23,857.64x = 351,831,421.49
  5. Step 5: Solve for x
    x = 351,831,421.49/23,857.64
  6. Step 6: Final answer
    x = 14,747.12

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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.