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Finding the Fourth Proportional to 7,009.80, 10,496.46 and 6,802.03

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Solution

The fourth proportional to 7,009.80, 10,496.46 and 6,802.03 is: 10,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.80 : 10,496.46 = 6,802.03 : x
  2. Step 2: Convert to fraction form
    7,009.80/10,496.46 = 6,802.03/x
  3. Step 3: Cross multiply
    7,009.80x = 10,496.46 × 6,802.03
  4. Step 4: Simplify right side
    7,009.80x = 71,397,235.81
  5. Step 5: Solve for x
    x = 71,397,235.81/7,009.80
  6. Step 6: Final answer
    x = 10,185.35

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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.