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Finding the Fourth Proportional to 7,661.03, 10,573.37 and 4,678.58

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Solution

The fourth proportional to 7,661.03, 10,573.37 and 4,678.58 is: 6,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.03 : 10,573.37 = 4,678.58 : x
  2. Step 2: Convert to fraction form
    7,661.03/10,573.37 = 4,678.58/x
  3. Step 3: Cross multiply
    7,661.03x = 10,573.37 × 4,678.58
  4. Step 4: Simplify right side
    7,661.03x = 49,468,334.02
  5. Step 5: Solve for x
    x = 49,468,334.02/7,661.03
  6. Step 6: Final answer
    x = 6,457.14

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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.