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Finding the Fourth Proportional to 9,989.46, 14,947.47 and 6,026.58

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Solution

The fourth proportional to 9,989.46, 14,947.47 and 6,026.58 is: 9,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.46 : 14,947.47 = 6,026.58 : x
  2. Step 2: Convert to fraction form
    9,989.46/14,947.47 = 6,026.58/x
  3. Step 3: Cross multiply
    9,989.46x = 14,947.47 × 6,026.58
  4. Step 4: Simplify right side
    9,989.46x = 90,082,123.75
  5. Step 5: Solve for x
    x = 90,082,123.75/9,989.46
  6. Step 6: Final answer
    x = 9,017.72

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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.