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Finding the Fourth Proportional to 7,113.66, 9,812.07 and 4,629.66

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Solution

The fourth proportional to 7,113.66, 9,812.07 and 4,629.66 is: 6,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.66 : 9,812.07 = 4,629.66 : x
  2. Step 2: Convert to fraction form
    7,113.66/9,812.07 = 4,629.66/x
  3. Step 3: Cross multiply
    7,113.66x = 9,812.07 × 4,629.66
  4. Step 4: Simplify right side
    7,113.66x = 45,426,548.00
  5. Step 5: Solve for x
    x = 45,426,548.00/7,113.66
  6. Step 6: Final answer
    x = 6,385.82

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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.