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Finding the Fourth Proportional to 9,670.59, 14,382.70 and 9,566.91

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Solution

The fourth proportional to 9,670.59, 14,382.70 and 9,566.91 is: 14,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.59 : 14,382.70 = 9,566.91 : x
  2. Step 2: Convert to fraction form
    9,670.59/14,382.70 = 9,566.91/x
  3. Step 3: Cross multiply
    9,670.59x = 14,382.70 × 9,566.91
  4. Step 4: Simplify right side
    9,670.59x = 137,597,972.54
  5. Step 5: Solve for x
    x = 137,597,972.54/9,670.59
  6. Step 6: Final answer
    x = 14,228.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.