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Finding the Fourth Proportional to 9,152.76, 13,729.14 and 5,258.28

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Solution

The fourth proportional to 9,152.76, 13,729.14 and 5,258.28 is: 7,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.76 : 13,729.14 = 5,258.28 : x
  2. Step 2: Convert to fraction form
    9,152.76/13,729.14 = 5,258.28/x
  3. Step 3: Cross multiply
    9,152.76x = 13,729.14 × 5,258.28
  4. Step 4: Simplify right side
    9,152.76x = 72,191,662.28
  5. Step 5: Solve for x
    x = 72,191,662.28/9,152.76
  6. Step 6: Final answer
    x = 7,887.42

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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.