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Finding the Fourth Proportional to 13,810.95, 19,059.32 and 7,523.32

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Solution

The fourth proportional to 13,810.95, 19,059.32 and 7,523.32 is: 10,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.95 : 19,059.32 = 7,523.32 : x
  2. Step 2: Convert to fraction form
    13,810.95/19,059.32 = 7,523.32/x
  3. Step 3: Cross multiply
    13,810.95x = 19,059.32 × 7,523.32
  4. Step 4: Simplify right side
    13,810.95x = 143,389,363.34
  5. Step 5: Solve for x
    x = 143,389,363.34/13,810.95
  6. Step 6: Final answer
    x = 10,382.30

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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.