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Finding the Fourth Proportional to 11,133, 15,365.40 and 6,416.40

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Solution

The fourth proportional to 11,133, 15,365.40 and 6,416.40 is: 8,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133 : 15,365.40 = 6,416.40 : x
  2. Step 2: Convert to fraction form
    11,133/15,365.40 = 6,416.40/x
  3. Step 3: Cross multiply
    11,133x = 15,365.40 × 6,416.40
  4. Step 4: Simplify right side
    11,133x = 98,590,552.56
  5. Step 5: Solve for x
    x = 98,590,552.56/11,133
  6. Step 6: Final answer
    x = 8,855.70

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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.