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Finding the Fourth Proportional to 4,707.50, 6,498.09 and 4,041.68

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Solution

The fourth proportional to 4,707.50, 6,498.09 and 4,041.68 is: 5,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.50 : 6,498.09 = 4,041.68 : x
  2. Step 2: Convert to fraction form
    4,707.50/6,498.09 = 4,041.68/x
  3. Step 3: Cross multiply
    4,707.50x = 6,498.09 × 4,041.68
  4. Step 4: Simplify right side
    4,707.50x = 26,263,167.90
  5. Step 5: Solve for x
    x = 26,263,167.90/4,707.50
  6. Step 6: Final answer
    x = 5,579.01

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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.