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Finding the Fourth Proportional to 9,527.52, 14,261.04 and 9,164.64

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Solution

The fourth proportional to 9,527.52, 14,261.04 and 9,164.64 is: 13,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.52 : 14,261.04 = 9,164.64 : x
  2. Step 2: Convert to fraction form
    9,527.52/14,261.04 = 9,164.64/x
  3. Step 3: Cross multiply
    9,527.52x = 14,261.04 × 9,164.64
  4. Step 4: Simplify right side
    9,527.52x = 130,697,297.63
  5. Step 5: Solve for x
    x = 130,697,297.63/9,527.52
  6. Step 6: Final answer
    x = 13,717.87

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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.