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Finding the Fourth Proportional to 7,641.59, 10,546.02 and 4,498.40

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Solution

The fourth proportional to 7,641.59, 10,546.02 and 4,498.40 is: 6,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.59 : 10,546.02 = 4,498.40 : x
  2. Step 2: Convert to fraction form
    7,641.59/10,546.02 = 4,498.40/x
  3. Step 3: Cross multiply
    7,641.59x = 10,546.02 × 4,498.40
  4. Step 4: Simplify right side
    7,641.59x = 47,440,216.37
  5. Step 5: Solve for x
    x = 47,440,216.37/7,641.59
  6. Step 6: Final answer
    x = 6,208.16

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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.