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Finding the Fourth Proportional to 30,758.64, 46,136.52 and 9,982.32

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Solution

The fourth proportional to 30,758.64, 46,136.52 and 9,982.32 is: 14,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758.64 : 46,136.52 = 9,982.32 : x
  2. Step 2: Convert to fraction form
    30,758.64/46,136.52 = 9,982.32/x
  3. Step 3: Cross multiply
    30,758.64x = 46,136.52 × 9,982.32
  4. Step 4: Simplify right side
    30,758.64x = 460,549,506.33
  5. Step 5: Solve for x
    x = 460,549,506.33/30,758.64
  6. Step 6: Final answer
    x = 14,973.01

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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.