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Finding the Fourth Proportional to 6,547.74, 9,040.14 and 5,053.02

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Solution

The fourth proportional to 6,547.74, 9,040.14 and 5,053.02 is: 6,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.74 : 9,040.14 = 5,053.02 : x
  2. Step 2: Convert to fraction form
    6,547.74/9,040.14 = 5,053.02/x
  3. Step 3: Cross multiply
    6,547.74x = 9,040.14 × 5,053.02
  4. Step 4: Simplify right side
    6,547.74x = 45,680,008.22
  5. Step 5: Solve for x
    x = 45,680,008.22/6,547.74
  6. Step 6: Final answer
    x = 6,976.45

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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.