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Finding the Fourth Proportional to 7,053, 10,564.47 and 4,580.52

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Solution

The fourth proportional to 7,053, 10,564.47 and 4,580.52 is: 6,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053 : 10,564.47 = 4,580.52 : x
  2. Step 2: Convert to fraction form
    7,053/10,564.47 = 4,580.52/x
  3. Step 3: Cross multiply
    7,053x = 10,564.47 × 4,580.52
  4. Step 4: Simplify right side
    7,053x = 48,390,766.12
  5. Step 5: Solve for x
    x = 48,390,766.12/7,053
  6. Step 6: Final answer
    x = 6,861.02

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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.