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Finding the Fourth Proportional to 10,715.91, 14,784.53 and 6,941.96

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Solution

The fourth proportional to 10,715.91, 14,784.53 and 6,941.96 is: 9,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.91 : 14,784.53 = 6,941.96 : x
  2. Step 2: Convert to fraction form
    10,715.91/14,784.53 = 6,941.96/x
  3. Step 3: Cross multiply
    10,715.91x = 14,784.53 × 6,941.96
  4. Step 4: Simplify right side
    10,715.91x = 102,633,704.42
  5. Step 5: Solve for x
    x = 102,633,704.42/10,715.91
  6. Step 6: Final answer
    x = 9,577.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.