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Finding the Fourth Proportional to 9,661.02, 14,463.95 and 6,364.06

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Solution

The fourth proportional to 9,661.02, 14,463.95 and 6,364.06 is: 9,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.02 : 14,463.95 = 6,364.06 : x
  2. Step 2: Convert to fraction form
    9,661.02/14,463.95 = 6,364.06/x
  3. Step 3: Cross multiply
    9,661.02x = 14,463.95 × 6,364.06
  4. Step 4: Simplify right side
    9,661.02x = 92,049,445.64
  5. Step 5: Solve for x
    x = 92,049,445.64/9,661.02
  6. Step 6: Final answer
    x = 9,527.92

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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.