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Finding the Fourth Proportional to 9,804.75, 14,705.34 and 2,877.63

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Solution

The fourth proportional to 9,804.75, 14,705.34 and 2,877.63 is: 4,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.75 : 14,705.34 = 2,877.63 : x
  2. Step 2: Convert to fraction form
    9,804.75/14,705.34 = 2,877.63/x
  3. Step 3: Cross multiply
    9,804.75x = 14,705.34 × 2,877.63
  4. Step 4: Simplify right side
    9,804.75x = 42,316,527.54
  5. Step 5: Solve for x
    x = 42,316,527.54/9,804.75
  6. Step 6: Final answer
    x = 4,315.92

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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.