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Finding the Fourth Proportional to 10,607.54, 14,641.05 and 6,133.88

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Solution

The fourth proportional to 10,607.54, 14,641.05 and 6,133.88 is: 8,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.54 : 14,641.05 = 6,133.88 : x
  2. Step 2: Convert to fraction form
    10,607.54/14,641.05 = 6,133.88/x
  3. Step 3: Cross multiply
    10,607.54x = 14,641.05 × 6,133.88
  4. Step 4: Simplify right side
    10,607.54x = 89,806,443.77
  5. Step 5: Solve for x
    x = 89,806,443.77/10,607.54
  6. Step 6: Final answer
    x = 8,466.28

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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.