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Finding the Fourth Proportional to 7,644.93, 10,547.51 and 4,457.51

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Solution

The fourth proportional to 7,644.93, 10,547.51 and 4,457.51 is: 6,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.93 : 10,547.51 = 4,457.51 : x
  2. Step 2: Convert to fraction form
    7,644.93/10,547.51 = 4,457.51/x
  3. Step 3: Cross multiply
    7,644.93x = 10,547.51 × 4,457.51
  4. Step 4: Simplify right side
    7,644.93x = 47,015,589.71
  5. Step 5: Solve for x
    x = 47,015,589.71/7,644.93
  6. Step 6: Final answer
    x = 6,149.90

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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.