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Finding the Fourth Proportional to 4,547.68, 6,822.40 and 1,774.24

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Solution

The fourth proportional to 4,547.68, 6,822.40 and 1,774.24 is: 2,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.68 : 6,822.40 = 1,774.24 : x
  2. Step 2: Convert to fraction form
    4,547.68/6,822.40 = 1,774.24/x
  3. Step 3: Cross multiply
    4,547.68x = 6,822.40 × 1,774.24
  4. Step 4: Simplify right side
    4,547.68x = 12,104,574.98
  5. Step 5: Solve for x
    x = 12,104,574.98/4,547.68
  6. Step 6: Final answer
    x = 2,661.70

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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.