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Finding the Fourth Proportional to 6,703.28, 10,038.36 and 5,407.28

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Solution

The fourth proportional to 6,703.28, 10,038.36 and 5,407.28 is: 8,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.28 : 10,038.36 = 5,407.28 : x
  2. Step 2: Convert to fraction form
    6,703.28/10,038.36 = 5,407.28/x
  3. Step 3: Cross multiply
    6,703.28x = 10,038.36 × 5,407.28
  4. Step 4: Simplify right side
    6,703.28x = 54,280,223.26
  5. Step 5: Solve for x
    x = 54,280,223.26/6,703.28
  6. Step 6: Final answer
    x = 8,097.56

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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.