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Finding the Fourth Proportional to 34,497.40, 51,747.30 and 9,539.32

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Solution

The fourth proportional to 34,497.40, 51,747.30 and 9,539.32 is: 14,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497.40 : 51,747.30 = 9,539.32 : x
  2. Step 2: Convert to fraction form
    34,497.40/51,747.30 = 9,539.32/x
  3. Step 3: Cross multiply
    34,497.40x = 51,747.30 × 9,539.32
  4. Step 4: Simplify right side
    34,497.40x = 493,634,053.84
  5. Step 5: Solve for x
    x = 493,634,053.84/34,497.40
  6. Step 6: Final answer
    x = 14,309.31

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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.