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Finding the Fourth Proportional to 7,615.60, 10,509.76 and 4,258.32

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Solution

The fourth proportional to 7,615.60, 10,509.76 and 4,258.32 is: 5,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.60 : 10,509.76 = 4,258.32 : x
  2. Step 2: Convert to fraction form
    7,615.60/10,509.76 = 4,258.32/x
  3. Step 3: Cross multiply
    7,615.60x = 10,509.76 × 4,258.32
  4. Step 4: Simplify right side
    7,615.60x = 44,753,921.20
  5. Step 5: Solve for x
    x = 44,753,921.20/7,615.60
  6. Step 6: Final answer
    x = 5,876.61

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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.