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Finding the Fourth Proportional to 11,545.14, 15,925.95 and 6,828.51

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Solution

The fourth proportional to 11,545.14, 15,925.95 and 6,828.51 is: 9,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.14 : 15,925.95 = 6,828.51 : x
  2. Step 2: Convert to fraction form
    11,545.14/15,925.95 = 6,828.51/x
  3. Step 3: Cross multiply
    11,545.14x = 15,925.95 × 6,828.51
  4. Step 4: Simplify right side
    11,545.14x = 108,750,508.83
  5. Step 5: Solve for x
    x = 108,750,508.83/11,545.14
  6. Step 6: Final answer
    x = 9,419.59

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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.