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Finding the Fourth Proportional to 9,467.12, 14,207.16 and 4,540.16

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Solution

The fourth proportional to 9,467.12, 14,207.16 and 4,540.16 is: 6,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.12 : 14,207.16 = 4,540.16 : x
  2. Step 2: Convert to fraction form
    9,467.12/14,207.16 = 4,540.16/x
  3. Step 3: Cross multiply
    9,467.12x = 14,207.16 × 4,540.16
  4. Step 4: Simplify right side
    9,467.12x = 64,502,779.55
  5. Step 5: Solve for x
    x = 64,502,779.55/9,467.12
  6. Step 6: Final answer
    x = 6,813.35

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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.