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Finding the Fourth Proportional to 9,779.10, 14,668.65 and 4,514.10

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Solution

The fourth proportional to 9,779.10, 14,668.65 and 4,514.10 is: 6,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.10 : 14,668.65 = 4,514.10 : x
  2. Step 2: Convert to fraction form
    9,779.10/14,668.65 = 4,514.10/x
  3. Step 3: Cross multiply
    9,779.10x = 14,668.65 × 4,514.10
  4. Step 4: Simplify right side
    9,779.10x = 66,215,752.97
  5. Step 5: Solve for x
    x = 66,215,752.97/9,779.10
  6. Step 6: Final answer
    x = 6,771.15

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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.