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Finding the Fourth Proportional to 7,798.17, 10,762.70 and 4,966.77

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Solution

The fourth proportional to 7,798.17, 10,762.70 and 4,966.77 is: 6,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.17 : 10,762.70 = 4,966.77 : x
  2. Step 2: Convert to fraction form
    7,798.17/10,762.70 = 4,966.77/x
  3. Step 3: Cross multiply
    7,798.17x = 10,762.70 × 4,966.77
  4. Step 4: Simplify right side
    7,798.17x = 53,455,810.47
  5. Step 5: Solve for x
    x = 53,455,810.47/7,798.17
  6. Step 6: Final answer
    x = 6,854.91

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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.