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Finding the Fourth Proportional to 13,478.64, 20,210.64 and 7,246.08

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Solution

The fourth proportional to 13,478.64, 20,210.64 and 7,246.08 is: 10,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.64 : 20,210.64 = 7,246.08 : x
  2. Step 2: Convert to fraction form
    13,478.64/20,210.64 = 7,246.08/x
  3. Step 3: Cross multiply
    13,478.64x = 20,210.64 × 7,246.08
  4. Step 4: Simplify right side
    13,478.64x = 146,447,914.29
  5. Step 5: Solve for x
    x = 146,447,914.29/13,478.64
  6. Step 6: Final answer
    x = 10,865.18

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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.