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Finding the Fourth Proportional to 7,707.48, 11,554.74 and 6,243

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Solution

The fourth proportional to 7,707.48, 11,554.74 and 6,243 is: 9,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.48 : 11,554.74 = 6,243 : x
  2. Step 2: Convert to fraction form
    7,707.48/11,554.74 = 6,243/x
  3. Step 3: Cross multiply
    7,707.48x = 11,554.74 × 6,243
  4. Step 4: Simplify right side
    7,707.48x = 72,136,241.82
  5. Step 5: Solve for x
    x = 72,136,241.82/7,707.48
  6. Step 6: Final answer
    x = 9,359.25

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Double scale
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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.