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Finding the Fourth Proportional to 7,509.94, 11,263.16 and 2,830.42

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Solution

The fourth proportional to 7,509.94, 11,263.16 and 2,830.42 is: 4,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.94 : 11,263.16 = 2,830.42 : x
  2. Step 2: Convert to fraction form
    7,509.94/11,263.16 = 2,830.42/x
  3. Step 3: Cross multiply
    7,509.94x = 11,263.16 × 2,830.42
  4. Step 4: Simplify right side
    7,509.94x = 31,879,452.25
  5. Step 5: Solve for x
    x = 31,879,452.25/7,509.94
  6. Step 6: Final answer
    x = 4,244.97

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Half scale
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Double scale
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Similar ratio
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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.