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Finding the Fourth Proportional to 9,548.40, 14,323.54 and 2,528.40

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Solution

The fourth proportional to 9,548.40, 14,323.54 and 2,528.40 is: 3,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.40 : 14,323.54 = 2,528.40 : x
  2. Step 2: Convert to fraction form
    9,548.40/14,323.54 = 2,528.40/x
  3. Step 3: Cross multiply
    9,548.40x = 14,323.54 × 2,528.40
  4. Step 4: Simplify right side
    9,548.40x = 36,215,638.54
  5. Step 5: Solve for x
    x = 36,215,638.54/9,548.40
  6. Step 6: Final answer
    x = 3,792.85

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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.