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Finding the Fourth Proportional to 9,417.72, 12,992.76 and 6,584.40

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Solution

The fourth proportional to 9,417.72, 12,992.76 and 6,584.40 is: 9,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.72 : 12,992.76 = 6,584.40 : x
  2. Step 2: Convert to fraction form
    9,417.72/12,992.76 = 6,584.40/x
  3. Step 3: Cross multiply
    9,417.72x = 12,992.76 × 6,584.40
  4. Step 4: Simplify right side
    9,417.72x = 85,549,528.94
  5. Step 5: Solve for x
    x = 85,549,528.94/9,417.72
  6. Step 6: Final answer
    x = 9,083.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.