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Finding the Fourth Proportional to 7,684.47, 10,603.17 and 4,541.40

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Solution

The fourth proportional to 7,684.47, 10,603.17 and 4,541.40 is: 6,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.47 : 10,603.17 = 4,541.40 : x
  2. Step 2: Convert to fraction form
    7,684.47/10,603.17 = 4,541.40/x
  3. Step 3: Cross multiply
    7,684.47x = 10,603.17 × 4,541.40
  4. Step 4: Simplify right side
    7,684.47x = 48,153,236.24
  5. Step 5: Solve for x
    x = 48,153,236.24/7,684.47
  6. Step 6: Final answer
    x = 6,266.31

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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.