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Finding the Fourth Proportional to 12,415.60, 18,623.40 and 8,187.40

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Solution

The fourth proportional to 12,415.60, 18,623.40 and 8,187.40 is: 12,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.60 : 18,623.40 = 8,187.40 : x
  2. Step 2: Convert to fraction form
    12,415.60/18,623.40 = 8,187.40/x
  3. Step 3: Cross multiply
    12,415.60x = 18,623.40 × 8,187.40
  4. Step 4: Simplify right side
    12,415.60x = 152,477,225.16
  5. Step 5: Solve for x
    x = 152,477,225.16/12,415.60
  6. Step 6: Final answer
    x = 12,281.10

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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.