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Finding the Fourth Proportional to 4,776.70, 7,165.05 and 4,703.80

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Solution

The fourth proportional to 4,776.70, 7,165.05 and 4,703.80 is: 7,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.70 : 7,165.05 = 4,703.80 : x
  2. Step 2: Convert to fraction form
    4,776.70/7,165.05 = 4,703.80/x
  3. Step 3: Cross multiply
    4,776.70x = 7,165.05 × 4,703.80
  4. Step 4: Simplify right side
    4,776.70x = 33,702,962.19
  5. Step 5: Solve for x
    x = 33,702,962.19/4,776.70
  6. Step 6: Final answer
    x = 7,055.70

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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.