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Finding the Fourth Proportional to 10,054.74, 13,875.54 and 5,578.54

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Solution

The fourth proportional to 10,054.74, 13,875.54 and 5,578.54 is: 7,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.74 : 13,875.54 = 5,578.54 : x
  2. Step 2: Convert to fraction form
    10,054.74/13,875.54 = 5,578.54/x
  3. Step 3: Cross multiply
    10,054.74x = 13,875.54 × 5,578.54
  4. Step 4: Simplify right side
    10,054.74x = 77,405,254.91
  5. Step 5: Solve for x
    x = 77,405,254.91/10,054.74
  6. Step 6: Final answer
    x = 7,698.38

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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.