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Finding the Fourth Proportional to 6,507.60, 9,775.80 and 6,334.80

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Solution

The fourth proportional to 6,507.60, 9,775.80 and 6,334.80 is: 9,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.60 : 9,775.80 = 6,334.80 : x
  2. Step 2: Convert to fraction form
    6,507.60/9,775.80 = 6,334.80/x
  3. Step 3: Cross multiply
    6,507.60x = 9,775.80 × 6,334.80
  4. Step 4: Simplify right side
    6,507.60x = 61,927,737.84
  5. Step 5: Solve for x
    x = 61,927,737.84/6,507.60
  6. Step 6: Final answer
    x = 9,516.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.