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Finding the Fourth Proportional to 7,683.04, 11,500.64 and 7,036.96

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Solution

The fourth proportional to 7,683.04, 11,500.64 and 7,036.96 is: 10,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.04 : 11,500.64 = 7,036.96 : x
  2. Step 2: Convert to fraction form
    7,683.04/11,500.64 = 7,036.96/x
  3. Step 3: Cross multiply
    7,683.04x = 11,500.64 × 7,036.96
  4. Step 4: Simplify right side
    7,683.04x = 80,929,543.65
  5. Step 5: Solve for x
    x = 80,929,543.65/7,683.04
  6. Step 6: Final answer
    x = 10,533.53

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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.