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Finding the Fourth Proportional to 9,114.80, 13,688.40 and 6,652.40

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Solution

The fourth proportional to 9,114.80, 13,688.40 and 6,652.40 is: 9,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.80 : 13,688.40 = 6,652.40 : x
  2. Step 2: Convert to fraction form
    9,114.80/13,688.40 = 6,652.40/x
  3. Step 3: Cross multiply
    9,114.80x = 13,688.40 × 6,652.40
  4. Step 4: Simplify right side
    9,114.80x = 91,060,712.16
  5. Step 5: Solve for x
    x = 91,060,712.16/9,114.80
  6. Step 6: Final answer
    x = 9,990.42

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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.