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Finding the Fourth Proportional to 7,030.49, 9,648.50 and 6,365.88

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Solution

The fourth proportional to 7,030.49, 9,648.50 and 6,365.88 is: 8,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.49 : 9,648.50 = 6,365.88 : x
  2. Step 2: Convert to fraction form
    7,030.49/9,648.50 = 6,365.88/x
  3. Step 3: Cross multiply
    7,030.49x = 9,648.50 × 6,365.88
  4. Step 4: Simplify right side
    7,030.49x = 61,421,161.35
  5. Step 5: Solve for x
    x = 61,421,161.35/7,030.49
  6. Step 6: Final answer
    x = 8,736.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.