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Finding the Fourth Proportional to 6,948.66, 9,565.65 and 5,373.78

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Solution

The fourth proportional to 6,948.66, 9,565.65 and 5,373.78 is: 7,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.66 : 9,565.65 = 5,373.78 : x
  2. Step 2: Convert to fraction form
    6,948.66/9,565.65 = 5,373.78/x
  3. Step 3: Cross multiply
    6,948.66x = 9,565.65 × 5,373.78
  4. Step 4: Simplify right side
    6,948.66x = 51,403,698.66
  5. Step 5: Solve for x
    x = 51,403,698.66/6,948.66
  6. Step 6: Final answer
    x = 7,397.64

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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.