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Finding the Fourth Proportional to 7,009, 10,525.40 and 4,683.94

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Solution

The fourth proportional to 7,009, 10,525.40 and 4,683.94 is: 7,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009 : 10,525.40 = 4,683.94 : x
  2. Step 2: Convert to fraction form
    7,009/10,525.40 = 4,683.94/x
  3. Step 3: Cross multiply
    7,009x = 10,525.40 × 4,683.94
  4. Step 4: Simplify right side
    7,009x = 49,300,342.08
  5. Step 5: Solve for x
    x = 49,300,342.08/7,009
  6. Step 6: Final answer
    x = 7,033.86

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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.