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Finding the Fourth Proportional to 9,852.16, 13,594 and 6,268.54

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Solution

The fourth proportional to 9,852.16, 13,594 and 6,268.54 is: 8,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.16 : 13,594 = 6,268.54 : x
  2. Step 2: Convert to fraction form
    9,852.16/13,594 = 6,268.54/x
  3. Step 3: Cross multiply
    9,852.16x = 13,594 × 6,268.54
  4. Step 4: Simplify right side
    9,852.16x = 85,214,532.76
  5. Step 5: Solve for x
    x = 85,214,532.76/9,852.16
  6. Step 6: Final answer
    x = 8,649.32

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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.