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Finding the Fourth Proportional to 6,492.51, 9,749.70 and 6,441.48

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Solution

The fourth proportional to 6,492.51, 9,749.70 and 6,441.48 is: 9,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.51 : 9,749.70 = 6,441.48 : x
  2. Step 2: Convert to fraction form
    6,492.51/9,749.70 = 6,441.48/x
  3. Step 3: Cross multiply
    6,492.51x = 9,749.70 × 6,441.48
  4. Step 4: Simplify right side
    6,492.51x = 62,802,497.56
  5. Step 5: Solve for x
    x = 62,802,497.56/6,492.51
  6. Step 6: Final answer
    x = 9,673.07

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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.