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Finding the Fourth Proportional to 7,570.79, 10,441.77 and 4,919.06

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Solution

The fourth proportional to 7,570.79, 10,441.77 and 4,919.06 is: 6,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.79 : 10,441.77 = 4,919.06 : x
  2. Step 2: Convert to fraction form
    7,570.79/10,441.77 = 4,919.06/x
  3. Step 3: Cross multiply
    7,570.79x = 10,441.77 × 4,919.06
  4. Step 4: Simplify right side
    7,570.79x = 51,363,700.79
  5. Step 5: Solve for x
    x = 51,363,700.79/7,570.79
  6. Step 6: Final answer
    x = 6,784.45

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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.