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Finding the Fourth Proportional to 7,813.89, 11,707.16 and 6,506.03

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Solution

The fourth proportional to 7,813.89, 11,707.16 and 6,506.03 is: 9,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.89 : 11,707.16 = 6,506.03 : x
  2. Step 2: Convert to fraction form
    7,813.89/11,707.16 = 6,506.03/x
  3. Step 3: Cross multiply
    7,813.89x = 11,707.16 × 6,506.03
  4. Step 4: Simplify right side
    7,813.89x = 76,167,130.91
  5. Step 5: Solve for x
    x = 76,167,130.91/7,813.89
  6. Step 6: Final answer
    x = 9,747.66

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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.