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Finding the Fourth Proportional to 8,657.48, 11,947.55 and 5,300.23

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Solution

The fourth proportional to 8,657.48, 11,947.55 and 5,300.23 is: 7,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.48 : 11,947.55 = 5,300.23 : x
  2. Step 2: Convert to fraction form
    8,657.48/11,947.55 = 5,300.23/x
  3. Step 3: Cross multiply
    8,657.48x = 11,947.55 × 5,300.23
  4. Step 4: Simplify right side
    8,657.48x = 63,324,762.94
  5. Step 5: Solve for x
    x = 63,324,762.94/8,657.48
  6. Step 6: Final answer
    x = 7,314.46

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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.