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Finding the Fourth Proportional to 10,444, 14,419.44 and 9,323.02

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Solution

The fourth proportional to 10,444, 14,419.44 and 9,323.02 is: 12,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 14,419.44 = 9,323.02 : x
  2. Step 2: Convert to fraction form
    10,444/14,419.44 = 9,323.02/x
  3. Step 3: Cross multiply
    10,444x = 14,419.44 × 9,323.02
  4. Step 4: Simplify right side
    10,444x = 134,432,727.51
  5. Step 5: Solve for x
    x = 134,432,727.51/10,444
  6. Step 6: Final answer
    x = 12,871.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.