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Finding the Fourth Proportional to 10,356.10, 14,286.53 and 7,000.08

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Solution

The fourth proportional to 10,356.10, 14,286.53 and 7,000.08 is: 9,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.10 : 14,286.53 = 7,000.08 : x
  2. Step 2: Convert to fraction form
    10,356.10/14,286.53 = 7,000.08/x
  3. Step 3: Cross multiply
    10,356.10x = 14,286.53 × 7,000.08
  4. Step 4: Simplify right side
    10,356.10x = 100,006,817.92
  5. Step 5: Solve for x
    x = 100,006,817.92/10,356.10
  6. Step 6: Final answer
    x = 9,656.81

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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.