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Finding the Fourth Proportional to 5,929.86, 8,894.95 and 1,547.22

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Solution

The fourth proportional to 5,929.86, 8,894.95 and 1,547.22 is: 2,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.86 : 8,894.95 = 1,547.22 : x
  2. Step 2: Convert to fraction form
    5,929.86/8,894.95 = 1,547.22/x
  3. Step 3: Cross multiply
    5,929.86x = 8,894.95 × 1,547.22
  4. Step 4: Simplify right side
    5,929.86x = 13,762,444.54
  5. Step 5: Solve for x
    x = 13,762,444.54/5,929.86
  6. Step 6: Final answer
    x = 2,320.87

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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.