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Finding the Fourth Proportional to 30,968.34, 46,455.59 and 9,903.09

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Solution

The fourth proportional to 30,968.34, 46,455.59 and 9,903.09 is: 14,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.34 : 46,455.59 = 9,903.09 : x
  2. Step 2: Convert to fraction form
    30,968.34/46,455.59 = 9,903.09/x
  3. Step 3: Cross multiply
    30,968.34x = 46,455.59 × 9,903.09
  4. Step 4: Simplify right side
    30,968.34x = 460,053,913.53
  5. Step 5: Solve for x
    x = 460,053,913.53/30,968.34
  6. Step 6: Final answer
    x = 14,855.62

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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.