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Finding the Fourth Proportional to 9,671.74, 14,482.95 and 6,374.84

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Solution

The fourth proportional to 9,671.74, 14,482.95 and 6,374.84 is: 9,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.74 : 14,482.95 = 6,374.84 : x
  2. Step 2: Convert to fraction form
    9,671.74/14,482.95 = 6,374.84/x
  3. Step 3: Cross multiply
    9,671.74x = 14,482.95 × 6,374.84
  4. Step 4: Simplify right side
    9,671.74x = 92,326,428.52
  5. Step 5: Solve for x
    x = 92,326,428.52/9,671.74
  6. Step 6: Final answer
    x = 9,546.00

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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.