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Finding the Fourth Proportional to 7,875.80, 11,813.70 and 7,098.20

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Solution

The fourth proportional to 7,875.80, 11,813.70 and 7,098.20 is: 10,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.80 : 11,813.70 = 7,098.20 : x
  2. Step 2: Convert to fraction form
    7,875.80/11,813.70 = 7,098.20/x
  3. Step 3: Cross multiply
    7,875.80x = 11,813.70 × 7,098.20
  4. Step 4: Simplify right side
    7,875.80x = 83,856,005.34
  5. Step 5: Solve for x
    x = 83,856,005.34/7,875.80
  6. Step 6: Final answer
    x = 10,647.30

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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.