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Finding the Fourth Proportional to 30,463.94, 45,693.01 and 9,398.32

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Solution

The fourth proportional to 30,463.94, 45,693.01 and 9,398.32 is: 14,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.94 : 45,693.01 = 9,398.32 : x
  2. Step 2: Convert to fraction form
    30,463.94/45,693.01 = 9,398.32/x
  3. Step 3: Cross multiply
    30,463.94x = 45,693.01 × 9,398.32
  4. Step 4: Simplify right side
    30,463.94x = 429,437,529.74
  5. Step 5: Solve for x
    x = 429,437,529.74/30,463.94
  6. Step 6: Final answer
    x = 14,096.59

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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.