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Finding the Fourth Proportional to 7,114.89, 9,823.86 and 4,598.58

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Solution

The fourth proportional to 7,114.89, 9,823.86 and 4,598.58 is: 6,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.89 : 9,823.86 = 4,598.58 : x
  2. Step 2: Convert to fraction form
    7,114.89/9,823.86 = 4,598.58/x
  3. Step 3: Cross multiply
    7,114.89x = 9,823.86 × 4,598.58
  4. Step 4: Simplify right side
    7,114.89x = 45,175,806.12
  5. Step 5: Solve for x
    x = 45,175,806.12/7,114.89
  6. Step 6: Final answer
    x = 6,349.47

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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.