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Finding the Fourth Proportional to 13,033.71, 19,547.56 and 7,770.20

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Solution

The fourth proportional to 13,033.71, 19,547.56 and 7,770.20 is: 11,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.71 : 19,547.56 = 7,770.20 : x
  2. Step 2: Convert to fraction form
    13,033.71/19,547.56 = 7,770.20/x
  3. Step 3: Cross multiply
    13,033.71x = 19,547.56 × 7,770.20
  4. Step 4: Simplify right side
    13,033.71x = 151,888,411.86
  5. Step 5: Solve for x
    x = 151,888,411.86/13,033.71
  6. Step 6: Final answer
    x = 11,653.51

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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.