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Finding the Fourth Proportional to 8,569.84, 12,840.72 and 5,485.36

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Solution

The fourth proportional to 8,569.84, 12,840.72 and 5,485.36 is: 8,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.84 : 12,840.72 = 5,485.36 : x
  2. Step 2: Convert to fraction form
    8,569.84/12,840.72 = 5,485.36/x
  3. Step 3: Cross multiply
    8,569.84x = 12,840.72 × 5,485.36
  4. Step 4: Simplify right side
    8,569.84x = 70,435,971.86
  5. Step 5: Solve for x
    x = 70,435,971.86/8,569.84
  6. Step 6: Final answer
    x = 8,219.05

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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.