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Finding the Fourth Proportional to 7,148.77, 9,865.12 and 4,005.16

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Solution

The fourth proportional to 7,148.77, 9,865.12 and 4,005.16 is: 5,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.77 : 9,865.12 = 4,005.16 : x
  2. Step 2: Convert to fraction form
    7,148.77/9,865.12 = 4,005.16/x
  3. Step 3: Cross multiply
    7,148.77x = 9,865.12 × 4,005.16
  4. Step 4: Simplify right side
    7,148.77x = 39,511,384.02
  5. Step 5: Solve for x
    x = 39,511,384.02/7,148.77
  6. Step 6: Final answer
    x = 5,527.02

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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.