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Finding the Fourth Proportional to 13,803.63, 19,048.43 and 7,835.19

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Solution

The fourth proportional to 13,803.63, 19,048.43 and 7,835.19 is: 10,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.63 : 19,048.43 = 7,835.19 : x
  2. Step 2: Convert to fraction form
    13,803.63/19,048.43 = 7,835.19/x
  3. Step 3: Cross multiply
    13,803.63x = 19,048.43 × 7,835.19
  4. Step 4: Simplify right side
    13,803.63x = 149,248,068.25
  5. Step 5: Solve for x
    x = 149,248,068.25/13,803.63
  6. Step 6: Final answer
    x = 10,812.23

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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.