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Finding the Fourth Proportional to 8,946.48, 12,335.63 and 7,262.58

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Solution

The fourth proportional to 8,946.48, 12,335.63 and 7,262.58 is: 10,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.48 : 12,335.63 = 7,262.58 : x
  2. Step 2: Convert to fraction form
    8,946.48/12,335.63 = 7,262.58/x
  3. Step 3: Cross multiply
    8,946.48x = 12,335.63 × 7,262.58
  4. Step 4: Simplify right side
    8,946.48x = 89,588,463.41
  5. Step 5: Solve for x
    x = 89,588,463.41/8,946.48
  6. Step 6: Final answer
    x = 10,013.82

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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.