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Finding the Fourth Proportional to 23,047.84, 34,575.09 and 9,900.10

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Solution

The fourth proportional to 23,047.84, 34,575.09 and 9,900.10 is: 14,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.84 : 34,575.09 = 9,900.10 : x
  2. Step 2: Convert to fraction form
    23,047.84/34,575.09 = 9,900.10/x
  3. Step 3: Cross multiply
    23,047.84x = 34,575.09 × 9,900.10
  4. Step 4: Simplify right side
    23,047.84x = 342,296,848.51
  5. Step 5: Solve for x
    x = 342,296,848.51/23,047.84
  6. Step 6: Final answer
    x = 14,851.58

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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.