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Finding the Fourth Proportional to 11,870.08, 16,380.08 and 6,564.60

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Solution

The fourth proportional to 11,870.08, 16,380.08 and 6,564.60 is: 9,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.08 : 16,380.08 = 6,564.60 : x
  2. Step 2: Convert to fraction form
    11,870.08/16,380.08 = 6,564.60/x
  3. Step 3: Cross multiply
    11,870.08x = 16,380.08 × 6,564.60
  4. Step 4: Simplify right side
    11,870.08x = 107,528,673.17
  5. Step 5: Solve for x
    x = 107,528,673.17/11,870.08
  6. Step 6: Final answer
    x = 9,058.80

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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.