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Finding the Fourth Proportional to 11,346.50, 15,658.17 and 6,378.50

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Solution

The fourth proportional to 11,346.50, 15,658.17 and 6,378.50 is: 8,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.50 : 15,658.17 = 6,378.50 : x
  2. Step 2: Convert to fraction form
    11,346.50/15,658.17 = 6,378.50/x
  3. Step 3: Cross multiply
    11,346.50x = 15,658.17 × 6,378.50
  4. Step 4: Simplify right side
    11,346.50x = 99,875,637.35
  5. Step 5: Solve for x
    x = 99,875,637.35/11,346.50
  6. Step 6: Final answer
    x = 8,802.33

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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.