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Finding the Fourth Proportional to 8,533.70, 11,776.48 and 4,756.83

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Solution

The fourth proportional to 8,533.70, 11,776.48 and 4,756.83 is: 6,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.70 : 11,776.48 = 4,756.83 : x
  2. Step 2: Convert to fraction form
    8,533.70/11,776.48 = 4,756.83/x
  3. Step 3: Cross multiply
    8,533.70x = 11,776.48 × 4,756.83
  4. Step 4: Simplify right side
    8,533.70x = 56,018,675.14
  5. Step 5: Solve for x
    x = 56,018,675.14/8,533.70
  6. Step 6: Final answer
    x = 6,564.40

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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.