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Finding the Fourth Proportional to 15,085, 22,627.54 and 4,696.76

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Solution

The fourth proportional to 15,085, 22,627.54 and 4,696.76 is: 7,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085 : 22,627.54 = 4,696.76 : x
  2. Step 2: Convert to fraction form
    15,085/22,627.54 = 4,696.76/x
  3. Step 3: Cross multiply
    15,085x = 22,627.54 × 4,696.76
  4. Step 4: Simplify right side
    15,085x = 106,276,124.77
  5. Step 5: Solve for x
    x = 106,276,124.77/15,085
  6. Step 6: Final answer
    x = 7,045.15

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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.