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Finding the Fourth Proportional to 6,591, 9,885.42 and 4,637.28

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Solution

The fourth proportional to 6,591, 9,885.42 and 4,637.28 is: 6,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591 : 9,885.42 = 4,637.28 : x
  2. Step 2: Convert to fraction form
    6,591/9,885.42 = 4,637.28/x
  3. Step 3: Cross multiply
    6,591x = 9,885.42 × 4,637.28
  4. Step 4: Simplify right side
    6,591x = 45,841,460.46
  5. Step 5: Solve for x
    x = 45,841,460.46/6,591
  6. Step 6: Final answer
    x = 6,955.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.