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Finding the Fourth Proportional to 9,848.52, 13,604.22 and 9,148.68

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Solution

The fourth proportional to 9,848.52, 13,604.22 and 9,148.68 is: 12,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.52 : 13,604.22 = 9,148.68 : x
  2. Step 2: Convert to fraction form
    9,848.52/13,604.22 = 9,148.68/x
  3. Step 3: Cross multiply
    9,848.52x = 13,604.22 × 9,148.68
  4. Step 4: Simplify right side
    9,848.52x = 124,460,655.43
  5. Step 5: Solve for x
    x = 124,460,655.43/9,848.52
  6. Step 6: Final answer
    x = 12,637.50

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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.