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Finding the Fourth Proportional to 7,952.70, 10,975.50 and 4,417.08

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Solution

The fourth proportional to 7,952.70, 10,975.50 and 4,417.08 is: 6,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.70 : 10,975.50 = 4,417.08 : x
  2. Step 2: Convert to fraction form
    7,952.70/10,975.50 = 4,417.08/x
  3. Step 3: Cross multiply
    7,952.70x = 10,975.50 × 4,417.08
  4. Step 4: Simplify right side
    7,952.70x = 48,479,661.54
  5. Step 5: Solve for x
    x = 48,479,661.54/7,952.70
  6. Step 6: Final answer
    x = 6,096.00

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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.