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Finding the Fourth Proportional to 15,746.76, 23,597.06 and 8,328.78

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Solution

The fourth proportional to 15,746.76, 23,597.06 and 8,328.78 is: 12,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.76 : 23,597.06 = 8,328.78 : x
  2. Step 2: Convert to fraction form
    15,746.76/23,597.06 = 8,328.78/x
  3. Step 3: Cross multiply
    15,746.76x = 23,597.06 × 8,328.78
  4. Step 4: Simplify right side
    15,746.76x = 196,534,679.74
  5. Step 5: Solve for x
    x = 196,534,679.74/15,746.76
  6. Step 6: Final answer
    x = 12,480.96

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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.