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Finding the Fourth Proportional to 7,684.61, 10,602.80 and 4,699.35

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Solution

The fourth proportional to 7,684.61, 10,602.80 and 4,699.35 is: 6,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.61 : 10,602.80 = 4,699.35 : x
  2. Step 2: Convert to fraction form
    7,684.61/10,602.80 = 4,699.35/x
  3. Step 3: Cross multiply
    7,684.61x = 10,602.80 × 4,699.35
  4. Step 4: Simplify right side
    7,684.61x = 49,826,262.31
  5. Step 5: Solve for x
    x = 49,826,262.31/7,684.61
  6. Step 6: Final answer
    x = 6,483.91

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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.