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Finding the Fourth Proportional to 23,013.09, 34,533 and 9,685.13

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Solution

The fourth proportional to 23,013.09, 34,533 and 9,685.13 is: 14,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.09 : 34,533 = 9,685.13 : x
  2. Step 2: Convert to fraction form
    23,013.09/34,533 = 9,685.13/x
  3. Step 3: Cross multiply
    23,013.09x = 34,533 × 9,685.13
  4. Step 4: Simplify right side
    23,013.09x = 334,456,421.63
  5. Step 5: Solve for x
    x = 334,456,421.63/23,013.09
  6. Step 6: Final answer
    x = 14,533.31

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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.