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Finding the Fourth Proportional to 8,470.08, 11,686.64 and 4,931.20

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Solution

The fourth proportional to 8,470.08, 11,686.64 and 4,931.20 is: 6,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.08 : 11,686.64 = 4,931.20 : x
  2. Step 2: Convert to fraction form
    8,470.08/11,686.64 = 4,931.20/x
  3. Step 3: Cross multiply
    8,470.08x = 11,686.64 × 4,931.20
  4. Step 4: Simplify right side
    8,470.08x = 57,629,159.17
  5. Step 5: Solve for x
    x = 57,629,159.17/8,470.08
  6. Step 6: Final answer
    x = 6,803.85

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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.