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Finding the Fourth Proportional to 6,359.76, 8,771.76 and 4,260.24

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Solution

The fourth proportional to 6,359.76, 8,771.76 and 4,260.24 is: 5,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.76 : 8,771.76 = 4,260.24 : x
  2. Step 2: Convert to fraction form
    6,359.76/8,771.76 = 4,260.24/x
  3. Step 3: Cross multiply
    6,359.76x = 8,771.76 × 4,260.24
  4. Step 4: Simplify right side
    6,359.76x = 37,369,802.82
  5. Step 5: Solve for x
    x = 37,369,802.82/6,359.76
  6. Step 6: Final answer
    x = 5,875.98

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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.