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Finding the Fourth Proportional to 6,307.29, 9,464.54 and 6,292.53

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Solution

The fourth proportional to 6,307.29, 9,464.54 and 6,292.53 is: 9,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.29 : 9,464.54 = 6,292.53 : x
  2. Step 2: Convert to fraction form
    6,307.29/9,464.54 = 6,292.53/x
  3. Step 3: Cross multiply
    6,307.29x = 9,464.54 × 6,292.53
  4. Step 4: Simplify right side
    6,307.29x = 59,555,870.42
  5. Step 5: Solve for x
    x = 59,555,870.42/6,307.29
  6. Step 6: Final answer
    x = 9,442.39

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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.