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Finding the Fourth Proportional to 9,323.84, 12,868.80 and 6,504.32

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Solution

The fourth proportional to 9,323.84, 12,868.80 and 6,504.32 is: 8,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.84 : 12,868.80 = 6,504.32 : x
  2. Step 2: Convert to fraction form
    9,323.84/12,868.80 = 6,504.32/x
  3. Step 3: Cross multiply
    9,323.84x = 12,868.80 × 6,504.32
  4. Step 4: Simplify right side
    9,323.84x = 83,702,793.22
  5. Step 5: Solve for x
    x = 83,702,793.22/9,323.84
  6. Step 6: Final answer
    x = 8,977.29

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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.