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Finding the Fourth Proportional to 6,698.68, 9,223.14 and 5,688.26

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Solution

The fourth proportional to 6,698.68, 9,223.14 and 5,688.26 is: 7,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.68 : 9,223.14 = 5,688.26 : x
  2. Step 2: Convert to fraction form
    6,698.68/9,223.14 = 5,688.26/x
  3. Step 3: Cross multiply
    6,698.68x = 9,223.14 × 5,688.26
  4. Step 4: Simplify right side
    6,698.68x = 52,463,618.34
  5. Step 5: Solve for x
    x = 52,463,618.34/6,698.68
  6. Step 6: Final answer
    x = 7,831.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.