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Finding the Fourth Proportional to 30,475.44, 45,696.40 and 9,409.67

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Solution

The fourth proportional to 30,475.44, 45,696.40 and 9,409.67 is: 14,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.44 : 45,696.40 = 9,409.67 : x
  2. Step 2: Convert to fraction form
    30,475.44/45,696.40 = 9,409.67/x
  3. Step 3: Cross multiply
    30,475.44x = 45,696.40 × 9,409.67
  4. Step 4: Simplify right side
    30,475.44x = 429,988,016.47
  5. Step 5: Solve for x
    x = 429,988,016.47/30,475.44
  6. Step 6: Final answer
    x = 14,109.33

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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.