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Finding the Fourth Proportional to 34,603.98, 51,900.09 and 9,646.52

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Solution

The fourth proportional to 34,603.98, 51,900.09 and 9,646.52 is: 14,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,603.98 : 51,900.09 = 9,646.52 : x
  2. Step 2: Convert to fraction form
    34,603.98/51,900.09 = 9,646.52/x
  3. Step 3: Cross multiply
    34,603.98x = 51,900.09 × 9,646.52
  4. Step 4: Simplify right side
    34,603.98x = 500,654,960.51
  5. Step 5: Solve for x
    x = 500,654,960.51/34,603.98
  6. Step 6: Final answer
    x = 14,468.13

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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.