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Finding the Fourth Proportional to 5,675.19, 7,837.74 and 5,056.77

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Solution

The fourth proportional to 5,675.19, 7,837.74 and 5,056.77 is: 6,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.19 : 7,837.74 = 5,056.77 : x
  2. Step 2: Convert to fraction form
    5,675.19/7,837.74 = 5,056.77/x
  3. Step 3: Cross multiply
    5,675.19x = 7,837.74 × 5,056.77
  4. Step 4: Simplify right side
    5,675.19x = 39,633,648.50
  5. Step 5: Solve for x
    x = 39,633,648.50/5,675.19
  6. Step 6: Final answer
    x = 6,983.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.