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Finding the Fourth Proportional to 7,464.48, 10,278 and 6,203.04

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Solution

The fourth proportional to 7,464.48, 10,278 and 6,203.04 is: 8,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.48 : 10,278 = 6,203.04 : x
  2. Step 2: Convert to fraction form
    7,464.48/10,278 = 6,203.04/x
  3. Step 3: Cross multiply
    7,464.48x = 10,278 × 6,203.04
  4. Step 4: Simplify right side
    7,464.48x = 63,754,845.12
  5. Step 5: Solve for x
    x = 63,754,845.12/7,464.48
  6. Step 6: Final answer
    x = 8,541.10

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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.