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Finding the Fourth Proportional to 30,853.64, 46,280.46 and 7,480.08

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Solution

The fourth proportional to 30,853.64, 46,280.46 and 7,480.08 is: 11,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.64 : 46,280.46 = 7,480.08 : x
  2. Step 2: Convert to fraction form
    30,853.64/46,280.46 = 7,480.08/x
  3. Step 3: Cross multiply
    30,853.64x = 46,280.46 × 7,480.08
  4. Step 4: Simplify right side
    30,853.64x = 346,181,543.24
  5. Step 5: Solve for x
    x = 346,181,543.24/30,853.64
  6. Step 6: Final answer
    x = 11,220.12

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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.