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Finding the Fourth Proportional to 13,832.84, 19,089.48 and 7,545.32

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Solution

The fourth proportional to 13,832.84, 19,089.48 and 7,545.32 is: 10,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.84 : 19,089.48 = 7,545.32 : x
  2. Step 2: Convert to fraction form
    13,832.84/19,089.48 = 7,545.32/x
  3. Step 3: Cross multiply
    13,832.84x = 19,089.48 × 7,545.32
  4. Step 4: Simplify right side
    13,832.84x = 144,036,235.23
  5. Step 5: Solve for x
    x = 144,036,235.23/13,832.84
  6. Step 6: Final answer
    x = 10,412.63

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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.