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Finding the Fourth Proportional to 7,030.78, 9,700.02 and 4,512.70

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Solution

The fourth proportional to 7,030.78, 9,700.02 and 4,512.70 is: 6,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.78 : 9,700.02 = 4,512.70 : x
  2. Step 2: Convert to fraction form
    7,030.78/9,700.02 = 4,512.70/x
  3. Step 3: Cross multiply
    7,030.78x = 9,700.02 × 4,512.70
  4. Step 4: Simplify right side
    7,030.78x = 43,773,280.25
  5. Step 5: Solve for x
    x = 43,773,280.25/7,030.78
  6. Step 6: Final answer
    x = 6,225.95

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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.