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Finding the Fourth Proportional to 30,398.50, 45,597.51 and 9,338.50

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Solution

The fourth proportional to 30,398.50, 45,597.51 and 9,338.50 is: 14,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.50 : 45,597.51 = 9,338.50 : x
  2. Step 2: Convert to fraction form
    30,398.50/45,597.51 = 9,338.50/x
  3. Step 3: Cross multiply
    30,398.50x = 45,597.51 × 9,338.50
  4. Step 4: Simplify right side
    30,398.50x = 425,812,347.14
  5. Step 5: Solve for x
    x = 425,812,347.14/30,398.50
  6. Step 6: Final answer
    x = 14,007.68

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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.