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Finding the Fourth Proportional to 6,915.86, 9,541.16 and 4,258.66

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Solution

The fourth proportional to 6,915.86, 9,541.16 and 4,258.66 is: 5,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.86 : 9,541.16 = 4,258.66 : x
  2. Step 2: Convert to fraction form
    6,915.86/9,541.16 = 4,258.66/x
  3. Step 3: Cross multiply
    6,915.86x = 9,541.16 × 4,258.66
  4. Step 4: Simplify right side
    6,915.86x = 40,632,556.45
  5. Step 5: Solve for x
    x = 40,632,556.45/6,915.86
  6. Step 6: Final answer
    x = 5,875.27

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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.