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Finding the Fourth Proportional to 6,576.55, 9,816.86 and 5,746.17

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Solution

The fourth proportional to 6,576.55, 9,816.86 and 5,746.17 is: 8,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.55 : 9,816.86 = 5,746.17 : x
  2. Step 2: Convert to fraction form
    6,576.55/9,816.86 = 5,746.17/x
  3. Step 3: Cross multiply
    6,576.55x = 9,816.86 × 5,746.17
  4. Step 4: Simplify right side
    6,576.55x = 56,409,346.43
  5. Step 5: Solve for x
    x = 56,409,346.43/6,576.55
  6. Step 6: Final answer
    x = 8,577.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.