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Finding the Fourth Proportional to 7,875.06, 10,866.74 and 4,338.06

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Solution

The fourth proportional to 7,875.06, 10,866.74 and 4,338.06 is: 5,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.06 : 10,866.74 = 4,338.06 : x
  2. Step 2: Convert to fraction form
    7,875.06/10,866.74 = 4,338.06/x
  3. Step 3: Cross multiply
    7,875.06x = 10,866.74 × 4,338.06
  4. Step 4: Simplify right side
    7,875.06x = 47,140,548.43
  5. Step 5: Solve for x
    x = 47,140,548.43/7,875.06
  6. Step 6: Final answer
    x = 5,986.06

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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.