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Finding the Fourth Proportional to 5,646.53, 7,787.40 and 4,465.55

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Solution

The fourth proportional to 5,646.53, 7,787.40 and 4,465.55 is: 6,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.53 : 7,787.40 = 4,465.55 : x
  2. Step 2: Convert to fraction form
    5,646.53/7,787.40 = 4,465.55/x
  3. Step 3: Cross multiply
    5,646.53x = 7,787.40 × 4,465.55
  4. Step 4: Simplify right side
    5,646.53x = 34,775,024.07
  5. Step 5: Solve for x
    x = 34,775,024.07/5,646.53
  6. Step 6: Final answer
    x = 6,158.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.