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Finding the Fourth Proportional to 10,396.99, 14,342.52 and 7,038.63

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Solution

The fourth proportional to 10,396.99, 14,342.52 and 7,038.63 is: 9,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.99 : 14,342.52 = 7,038.63 : x
  2. Step 2: Convert to fraction form
    10,396.99/14,342.52 = 7,038.63/x
  3. Step 3: Cross multiply
    10,396.99x = 14,342.52 × 7,038.63
  4. Step 4: Simplify right side
    10,396.99x = 100,951,678.35
  5. Step 5: Solve for x
    x = 100,951,678.35/10,396.99
  6. Step 6: Final answer
    x = 9,709.70

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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.