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Finding the Fourth Proportional to 30,897.99, 46,346.08 and 7,524.09

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Solution

The fourth proportional to 30,897.99, 46,346.08 and 7,524.09 is: 11,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.99 : 46,346.08 = 7,524.09 : x
  2. Step 2: Convert to fraction form
    30,897.99/46,346.08 = 7,524.09/x
  3. Step 3: Cross multiply
    30,897.99x = 46,346.08 × 7,524.09
  4. Step 4: Simplify right side
    30,897.99x = 348,712,077.07
  5. Step 5: Solve for x
    x = 348,712,077.07/30,897.99
  6. Step 6: Final answer
    x = 11,285.91

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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.