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Finding the Fourth Proportional to 30,055.56, 45,080.70 and 9,277

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Solution

The fourth proportional to 30,055.56, 45,080.70 and 9,277 is: 13,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.56 : 45,080.70 = 9,277 : x
  2. Step 2: Convert to fraction form
    30,055.56/45,080.70 = 9,277/x
  3. Step 3: Cross multiply
    30,055.56x = 45,080.70 × 9,277
  4. Step 4: Simplify right side
    30,055.56x = 418,213,653.90
  5. Step 5: Solve for x
    x = 418,213,653.90/30,055.56
  6. Step 6: Final answer
    x = 13,914.69

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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.