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Finding the Fourth Proportional to 9,875.52, 14,815.60 and 2,950.20

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Solution

The fourth proportional to 9,875.52, 14,815.60 and 2,950.20 is: 4,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.52 : 14,815.60 = 2,950.20 : x
  2. Step 2: Convert to fraction form
    9,875.52/14,815.60 = 2,950.20/x
  3. Step 3: Cross multiply
    9,875.52x = 14,815.60 × 2,950.20
  4. Step 4: Simplify right side
    9,875.52x = 43,708,983.12
  5. Step 5: Solve for x
    x = 43,708,983.12/9,875.52
  6. Step 6: Final answer
    x = 4,425.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.