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Finding the Fourth Proportional to 13,705.16, 18,913.16 and 7,417.53

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Solution

The fourth proportional to 13,705.16, 18,913.16 and 7,417.53 is: 10,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.16 : 18,913.16 = 7,417.53 : x
  2. Step 2: Convert to fraction form
    13,705.16/18,913.16 = 7,417.53/x
  3. Step 3: Cross multiply
    13,705.16x = 18,913.16 × 7,417.53
  4. Step 4: Simplify right side
    13,705.16x = 140,288,894.61
  5. Step 5: Solve for x
    x = 140,288,894.61/13,705.16
  6. Step 6: Final answer
    x = 10,236.21

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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.