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Finding the Fourth Proportional to 8,915.64, 12,303.78 and 5,777.28

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Solution

The fourth proportional to 8,915.64, 12,303.78 and 5,777.28 is: 7,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,915.64 : 12,303.78 = 5,777.28 : x
  2. Step 2: Convert to fraction form
    8,915.64/12,303.78 = 5,777.28/x
  3. Step 3: Cross multiply
    8,915.64x = 12,303.78 × 5,777.28
  4. Step 4: Simplify right side
    8,915.64x = 71,082,382.12
  5. Step 5: Solve for x
    x = 71,082,382.12/8,915.64
  6. Step 6: Final answer
    x = 7,972.77

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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.