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Finding the Fourth Proportional to 7,646.68, 10,545.42 and 4,993.12

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Solution

The fourth proportional to 7,646.68, 10,545.42 and 4,993.12 is: 6,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.68 : 10,545.42 = 4,993.12 : x
  2. Step 2: Convert to fraction form
    7,646.68/10,545.42 = 4,993.12/x
  3. Step 3: Cross multiply
    7,646.68x = 10,545.42 × 4,993.12
  4. Step 4: Simplify right side
    7,646.68x = 52,654,547.51
  5. Step 5: Solve for x
    x = 52,654,547.51/7,646.68
  6. Step 6: Final answer
    x = 6,885.94

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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.