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Finding the Fourth Proportional to 13,802.40, 19,047.75 and 7,834.32

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Solution

The fourth proportional to 13,802.40, 19,047.75 and 7,834.32 is: 10,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.40 : 19,047.75 = 7,834.32 : x
  2. Step 2: Convert to fraction form
    13,802.40/19,047.75 = 7,834.32/x
  3. Step 3: Cross multiply
    13,802.40x = 19,047.75 × 7,834.32
  4. Step 4: Simplify right side
    13,802.40x = 149,226,168.78
  5. Step 5: Solve for x
    x = 149,226,168.78/13,802.40
  6. Step 6: Final answer
    x = 10,811.61

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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.