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Finding the Fourth Proportional to 4,953.51, 7,430.07 and 1,666.53

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Solution

The fourth proportional to 4,953.51, 7,430.07 and 1,666.53 is: 2,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.51 : 7,430.07 = 1,666.53 : x
  2. Step 2: Convert to fraction form
    4,953.51/7,430.07 = 1,666.53/x
  3. Step 3: Cross multiply
    4,953.51x = 7,430.07 × 1,666.53
  4. Step 4: Simplify right side
    4,953.51x = 12,382,434.56
  5. Step 5: Solve for x
    x = 12,382,434.56/4,953.51
  6. Step 6: Final answer
    x = 2,499.73

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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.