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Finding the Fourth Proportional to 9,541.76, 13,164.93 and 6,184.71

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Solution

The fourth proportional to 9,541.76, 13,164.93 and 6,184.71 is: 8,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.76 : 13,164.93 = 6,184.71 : x
  2. Step 2: Convert to fraction form
    9,541.76/13,164.93 = 6,184.71/x
  3. Step 3: Cross multiply
    9,541.76x = 13,164.93 × 6,184.71
  4. Step 4: Simplify right side
    9,541.76x = 81,421,274.22
  5. Step 5: Solve for x
    x = 81,421,274.22/9,541.76
  6. Step 6: Final answer
    x = 8,533.15

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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.