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Finding the Fourth Proportional to 13,705.08, 18,913.02 and 7,417.46

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Solution

The fourth proportional to 13,705.08, 18,913.02 and 7,417.46 is: 10,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.08 : 18,913.02 = 7,417.46 : x
  2. Step 2: Convert to fraction form
    13,705.08/18,913.02 = 7,417.46/x
  3. Step 3: Cross multiply
    13,705.08x = 18,913.02 × 7,417.46
  4. Step 4: Simplify right side
    13,705.08x = 140,286,569.33
  5. Step 5: Solve for x
    x = 140,286,569.33/13,705.08
  6. Step 6: Final answer
    x = 10,236.10

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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.