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Finding the Fourth Proportional to 30,835.74, 46,253.23 and 9,775.74

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Solution

The fourth proportional to 30,835.74, 46,253.23 and 9,775.74 is: 14,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.74 : 46,253.23 = 9,775.74 : x
  2. Step 2: Convert to fraction form
    30,835.74/46,253.23 = 9,775.74/x
  3. Step 3: Cross multiply
    30,835.74x = 46,253.23 × 9,775.74
  4. Step 4: Simplify right side
    30,835.74x = 452,159,439.48
  5. Step 5: Solve for x
    x = 452,159,439.48/30,835.74
  6. Step 6: Final answer
    x = 14,663.49

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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.