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Finding the Fourth Proportional to 7,905.60, 10,915.20 and 5,258.40

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Solution

The fourth proportional to 7,905.60, 10,915.20 and 5,258.40 is: 7,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.60 : 10,915.20 = 5,258.40 : x
  2. Step 2: Convert to fraction form
    7,905.60/10,915.20 = 5,258.40/x
  3. Step 3: Cross multiply
    7,905.60x = 10,915.20 × 5,258.40
  4. Step 4: Simplify right side
    7,905.60x = 57,396,487.68
  5. Step 5: Solve for x
    x = 57,396,487.68/7,905.60
  6. Step 6: Final answer
    x = 7,260.23

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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.