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Finding the Fourth Proportional to 7,547.86, 10,411.77 and 4,748.50

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Solution

The fourth proportional to 7,547.86, 10,411.77 and 4,748.50 is: 6,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.86 : 10,411.77 = 4,748.50 : x
  2. Step 2: Convert to fraction form
    7,547.86/10,411.77 = 4,748.50/x
  3. Step 3: Cross multiply
    7,547.86x = 10,411.77 × 4,748.50
  4. Step 4: Simplify right side
    7,547.86x = 49,440,289.85
  5. Step 5: Solve for x
    x = 49,440,289.85/7,547.86
  6. Step 6: Final answer
    x = 6,550.24

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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.