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Finding the Fourth Proportional to 7,461.89, 10,292.13 and 6,335.07

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Solution

The fourth proportional to 7,461.89, 10,292.13 and 6,335.07 is: 8,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.89 : 10,292.13 = 6,335.07 : x
  2. Step 2: Convert to fraction form
    7,461.89/10,292.13 = 6,335.07/x
  3. Step 3: Cross multiply
    7,461.89x = 10,292.13 × 6,335.07
  4. Step 4: Simplify right side
    7,461.89x = 65,201,364.00
  5. Step 5: Solve for x
    x = 65,201,364.00/7,461.89
  6. Step 6: Final answer
    x = 8,737.92

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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.