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Finding the Fourth Proportional to 9,948.14, 14,900.61 and 9,671.66

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Solution

The fourth proportional to 9,948.14, 14,900.61 and 9,671.66 is: 14,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.14 : 14,900.61 = 9,671.66 : x
  2. Step 2: Convert to fraction form
    9,948.14/14,900.61 = 9,671.66/x
  3. Step 3: Cross multiply
    9,948.14x = 14,900.61 × 9,671.66
  4. Step 4: Simplify right side
    9,948.14x = 144,113,633.71
  5. Step 5: Solve for x
    x = 144,113,633.71/9,948.14
  6. Step 6: Final answer
    x = 14,486.49

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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.