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Finding the Fourth Proportional to 29,303.84, 43,962.32 and 9,314.48

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Solution

The fourth proportional to 29,303.84, 43,962.32 and 9,314.48 is: 13,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,303.84 : 43,962.32 = 9,314.48 : x
  2. Step 2: Convert to fraction form
    29,303.84/43,962.32 = 9,314.48/x
  3. Step 3: Cross multiply
    29,303.84x = 43,962.32 × 9,314.48
  4. Step 4: Simplify right side
    29,303.84x = 409,486,150.39
  5. Step 5: Solve for x
    x = 409,486,150.39/29,303.84
  6. Step 6: Final answer
    x = 13,973.81

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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.