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Finding the Fourth Proportional to 9,975.98, 14,959.07 and 5,701.20

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Solution

The fourth proportional to 9,975.98, 14,959.07 and 5,701.20 is: 8,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.98 : 14,959.07 = 5,701.20 : x
  2. Step 2: Convert to fraction form
    9,975.98/14,959.07 = 5,701.20/x
  3. Step 3: Cross multiply
    9,975.98x = 14,959.07 × 5,701.20
  4. Step 4: Simplify right side
    9,975.98x = 85,284,621.38
  5. Step 5: Solve for x
    x = 85,284,621.38/9,975.98
  6. Step 6: Final answer
    x = 8,549.00

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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.