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Finding the Fourth Proportional to 9,527.59, 14,295.48 and 3,982.20

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Solution

The fourth proportional to 9,527.59, 14,295.48 and 3,982.20 is: 5,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.59 : 14,295.48 = 3,982.20 : x
  2. Step 2: Convert to fraction form
    9,527.59/14,295.48 = 3,982.20/x
  3. Step 3: Cross multiply
    9,527.59x = 14,295.48 × 3,982.20
  4. Step 4: Simplify right side
    9,527.59x = 56,927,460.46
  5. Step 5: Solve for x
    x = 56,927,460.46/9,527.59
  6. Step 6: Final answer
    x = 5,975.01

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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.