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Finding the Fourth Proportional to 7,708.53, 10,638.63 and 4,564.92

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Solution

The fourth proportional to 7,708.53, 10,638.63 and 4,564.92 is: 6,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.53 : 10,638.63 = 4,564.92 : x
  2. Step 2: Convert to fraction form
    7,708.53/10,638.63 = 4,564.92/x
  3. Step 3: Cross multiply
    7,708.53x = 10,638.63 × 4,564.92
  4. Step 4: Simplify right side
    7,708.53x = 48,564,494.86
  5. Step 5: Solve for x
    x = 48,564,494.86/7,708.53
  6. Step 6: Final answer
    x = 6,300.10

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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.