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Finding the Fourth Proportional to 6,458.24, 8,918.62 and 5,565.66

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Solution

The fourth proportional to 6,458.24, 8,918.62 and 5,565.66 is: 7,686.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.24 : 8,918.62 = 5,565.66 : x
  2. Step 2: Convert to fraction form
    6,458.24/8,918.62 = 5,565.66/x
  3. Step 3: Cross multiply
    6,458.24x = 8,918.62 × 5,565.66
  4. Step 4: Simplify right side
    6,458.24x = 49,638,006.59
  5. Step 5: Solve for x
    x = 49,638,006.59/6,458.24
  6. Step 6: Final answer
    x = 7,686.00

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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.