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Finding the Fourth Proportional to 6,969.71, 10,454.19 and 5,097.53

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Solution

The fourth proportional to 6,969.71, 10,454.19 and 5,097.53 is: 7,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.71 : 10,454.19 = 5,097.53 : x
  2. Step 2: Convert to fraction form
    6,969.71/10,454.19 = 5,097.53/x
  3. Step 3: Cross multiply
    6,969.71x = 10,454.19 × 5,097.53
  4. Step 4: Simplify right side
    6,969.71x = 53,290,547.15
  5. Step 5: Solve for x
    x = 53,290,547.15/6,969.71
  6. Step 6: Final answer
    x = 7,646.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.