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Finding the Fourth Proportional to 11,300.57, 15,594.77 and 6,823.45

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Solution

The fourth proportional to 11,300.57, 15,594.77 and 6,823.45 is: 9,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.57 : 15,594.77 = 6,823.45 : x
  2. Step 2: Convert to fraction form
    11,300.57/15,594.77 = 6,823.45/x
  3. Step 3: Cross multiply
    11,300.57x = 15,594.77 × 6,823.45
  4. Step 4: Simplify right side
    11,300.57x = 106,410,111.43
  5. Step 5: Solve for x
    x = 106,410,111.43/11,300.57
  6. Step 6: Final answer
    x = 9,416.35

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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.