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Finding the Fourth Proportional to 6,547.68, 9,032.94 and 4,306.68

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Solution

The fourth proportional to 6,547.68, 9,032.94 and 4,306.68 is: 5,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.68 : 9,032.94 = 4,306.68 : x
  2. Step 2: Convert to fraction form
    6,547.68/9,032.94 = 4,306.68/x
  3. Step 3: Cross multiply
    6,547.68x = 9,032.94 × 4,306.68
  4. Step 4: Simplify right side
    6,547.68x = 38,901,982.04
  5. Step 5: Solve for x
    x = 38,901,982.04/6,547.68
  6. Step 6: Final answer
    x = 5,941.34

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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.