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Finding the Fourth Proportional to 9,644.33, 14,426.51 and 9,053.84

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Solution

The fourth proportional to 9,644.33, 14,426.51 and 9,053.84 is: 13,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.33 : 14,426.51 = 9,053.84 : x
  2. Step 2: Convert to fraction form
    9,644.33/14,426.51 = 9,053.84/x
  3. Step 3: Cross multiply
    9,644.33x = 14,426.51 × 9,053.84
  4. Step 4: Simplify right side
    9,644.33x = 130,615,195.90
  5. Step 5: Solve for x
    x = 130,615,195.90/9,644.33
  6. Step 6: Final answer
    x = 13,543.22

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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.