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Finding the Fourth Proportional to 7,656.57, 11,460.98 and 5,897.03

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Solution

The fourth proportional to 7,656.57, 11,460.98 and 5,897.03 is: 8,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.57 : 11,460.98 = 5,897.03 : x
  2. Step 2: Convert to fraction form
    7,656.57/11,460.98 = 5,897.03/x
  3. Step 3: Cross multiply
    7,656.57x = 11,460.98 × 5,897.03
  4. Step 4: Simplify right side
    7,656.57x = 67,585,700.33
  5. Step 5: Solve for x
    x = 67,585,700.33/7,656.57
  6. Step 6: Final answer
    x = 8,827.15

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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.