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Finding the Fourth Proportional to 30,575.10, 45,866.93 and 9,516.69

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Solution

The fourth proportional to 30,575.10, 45,866.93 and 9,516.69 is: 14,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.10 : 45,866.93 = 9,516.69 : x
  2. Step 2: Convert to fraction form
    30,575.10/45,866.93 = 9,516.69/x
  3. Step 3: Cross multiply
    30,575.10x = 45,866.93 × 9,516.69
  4. Step 4: Simplify right side
    30,575.10x = 436,501,077.14
  5. Step 5: Solve for x
    x = 436,501,077.14/30,575.10
  6. Step 6: Final answer
    x = 14,276.36

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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.