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Finding the Fourth Proportional to 6,569.48, 9,835.58 and 5,246.48

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Solution

The fourth proportional to 6,569.48, 9,835.58 and 5,246.48 is: 7,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.48 : 9,835.58 = 5,246.48 : x
  2. Step 2: Convert to fraction form
    6,569.48/9,835.58 = 5,246.48/x
  3. Step 3: Cross multiply
    6,569.48x = 9,835.58 × 5,246.48
  4. Step 4: Simplify right side
    6,569.48x = 51,602,173.76
  5. Step 5: Solve for x
    x = 51,602,173.76/6,569.48
  6. Step 6: Final answer
    x = 7,854.83

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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.