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Finding the Fourth Proportional to 8,384.63, 11,570.12 and 4,848.07

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Solution

The fourth proportional to 8,384.63, 11,570.12 and 4,848.07 is: 6,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.63 : 11,570.12 = 4,848.07 : x
  2. Step 2: Convert to fraction form
    8,384.63/11,570.12 = 4,848.07/x
  3. Step 3: Cross multiply
    8,384.63x = 11,570.12 × 4,848.07
  4. Step 4: Simplify right side
    8,384.63x = 56,092,724.74
  5. Step 5: Solve for x
    x = 56,092,724.74/8,384.63
  6. Step 6: Final answer
    x = 6,689.95

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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.