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Finding the Fourth Proportional to 9,386.48, 12,946.92 and 5,848.40

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Solution

The fourth proportional to 9,386.48, 12,946.92 and 5,848.40 is: 8,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.48 : 12,946.92 = 5,848.40 : x
  2. Step 2: Convert to fraction form
    9,386.48/12,946.92 = 5,848.40/x
  3. Step 3: Cross multiply
    9,386.48x = 12,946.92 × 5,848.40
  4. Step 4: Simplify right side
    9,386.48x = 75,718,766.93
  5. Step 5: Solve for x
    x = 75,718,766.93/9,386.48
  6. Step 6: Final answer
    x = 8,066.79

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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.