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Finding the Fourth Proportional to 16,258.40, 24,374.08 and 6,905.60

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Solution

The fourth proportional to 16,258.40, 24,374.08 and 6,905.60 is: 10,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.40 : 24,374.08 = 6,905.60 : x
  2. Step 2: Convert to fraction form
    16,258.40/24,374.08 = 6,905.60/x
  3. Step 3: Cross multiply
    16,258.40x = 24,374.08 × 6,905.60
  4. Step 4: Simplify right side
    16,258.40x = 168,317,646.85
  5. Step 5: Solve for x
    x = 168,317,646.85/16,258.40
  6. Step 6: Final answer
    x = 10,352.66

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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.