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Finding the Fourth Proportional to 6,503.79, 9,700.06 and 5,523

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Solution

The fourth proportional to 6,503.79, 9,700.06 and 5,523 is: 8,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.79 : 9,700.06 = 5,523 : x
  2. Step 2: Convert to fraction form
    6,503.79/9,700.06 = 5,523/x
  3. Step 3: Cross multiply
    6,503.79x = 9,700.06 × 5,523
  4. Step 4: Simplify right side
    6,503.79x = 53,573,431.38
  5. Step 5: Solve for x
    x = 53,573,431.38/6,503.79
  6. Step 6: Final answer
    x = 8,237.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.