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Finding the Fourth Proportional to 30,548.00, 45,829.15 and 9,486.96

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Solution

The fourth proportional to 30,548.00, 45,829.15 and 9,486.96 is: 14,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.00 : 45,829.15 = 9,486.96 : x
  2. Step 2: Convert to fraction form
    30,548.00/45,829.15 = 9,486.96/x
  3. Step 3: Cross multiply
    30,548.00x = 45,829.15 × 9,486.96
  4. Step 4: Simplify right side
    30,548.00x = 434,779,289.17
  5. Step 5: Solve for x
    x = 434,779,289.17/30,548.00
  6. Step 6: Final answer
    x = 14,232.66

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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.