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Finding the Fourth Proportional to 5,697.54, 8,547.12 and 1,802.25

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Solution

The fourth proportional to 5,697.54, 8,547.12 and 1,802.25 is: 2,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.54 : 8,547.12 = 1,802.25 : x
  2. Step 2: Convert to fraction form
    5,697.54/8,547.12 = 1,802.25/x
  3. Step 3: Cross multiply
    5,697.54x = 8,547.12 × 1,802.25
  4. Step 4: Simplify right side
    5,697.54x = 15,404,047.02
  5. Step 5: Solve for x
    x = 15,404,047.02/5,697.54
  6. Step 6: Final answer
    x = 2,703.63

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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.