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Finding the Fourth Proportional to 9,875.70, 14,813.55 and 6,182.10

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Solution

The fourth proportional to 9,875.70, 14,813.55 and 6,182.10 is: 9,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.70 : 14,813.55 = 6,182.10 : x
  2. Step 2: Convert to fraction form
    9,875.70/14,813.55 = 6,182.10/x
  3. Step 3: Cross multiply
    9,875.70x = 14,813.55 × 6,182.10
  4. Step 4: Simplify right side
    9,875.70x = 91,578,847.46
  5. Step 5: Solve for x
    x = 91,578,847.46/9,875.70
  6. Step 6: Final answer
    x = 9,273.15

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Similar ratio
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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.