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Finding the Fourth Proportional to 9,646.67, 14,455.11 and 6,514.40

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Solution

The fourth proportional to 9,646.67, 14,455.11 and 6,514.40 is: 9,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.67 : 14,455.11 = 6,514.40 : x
  2. Step 2: Convert to fraction form
    9,646.67/14,455.11 = 6,514.40/x
  3. Step 3: Cross multiply
    9,646.67x = 14,455.11 × 6,514.40
  4. Step 4: Simplify right side
    9,646.67x = 94,166,368.58
  5. Step 5: Solve for x
    x = 94,166,368.58/9,646.67
  6. Step 6: Final answer
    x = 9,761.54

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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.