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Finding the Fourth Proportional to 15,750.84, 23,629.62 and 7,857.60

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Solution

The fourth proportional to 15,750.84, 23,629.62 and 7,857.60 is: 11,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750.84 : 23,629.62 = 7,857.60 : x
  2. Step 2: Convert to fraction form
    15,750.84/23,629.62 = 7,857.60/x
  3. Step 3: Cross multiply
    15,750.84x = 23,629.62 × 7,857.60
  4. Step 4: Simplify right side
    15,750.84x = 185,672,102.11
  5. Step 5: Solve for x
    x = 185,672,102.11/15,750.84
  6. Step 6: Final answer
    x = 11,788.08

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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.