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Finding the Fourth Proportional to 7,158.79, 9,877.10 and 4,641

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Solution

The fourth proportional to 7,158.79, 9,877.10 and 4,641 is: 6,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.79 : 9,877.10 = 4,641 : x
  2. Step 2: Convert to fraction form
    7,158.79/9,877.10 = 4,641/x
  3. Step 3: Cross multiply
    7,158.79x = 9,877.10 × 4,641
  4. Step 4: Simplify right side
    7,158.79x = 45,839,621.10
  5. Step 5: Solve for x
    x = 45,839,621.10/7,158.79
  6. Step 6: Final answer
    x = 6,403.27

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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.