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Finding the Fourth Proportional to 6,688.62, 10,032.89 and 5,229

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Solution

The fourth proportional to 6,688.62, 10,032.89 and 5,229 is: 7,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.62 : 10,032.89 = 5,229 : x
  2. Step 2: Convert to fraction form
    6,688.62/10,032.89 = 5,229/x
  3. Step 3: Cross multiply
    6,688.62x = 10,032.89 × 5,229
  4. Step 4: Simplify right side
    6,688.62x = 52,461,955.67
  5. Step 5: Solve for x
    x = 52,461,955.67/6,688.62
  6. Step 6: Final answer
    x = 7,843.46

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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.