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Finding the Fourth Proportional to 10,766.40, 14,854.40 and 6,574.40

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Solution

The fourth proportional to 10,766.40, 14,854.40 and 6,574.40 is: 9,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.40 : 14,854.40 = 6,574.40 : x
  2. Step 2: Convert to fraction form
    10,766.40/14,854.40 = 6,574.40/x
  3. Step 3: Cross multiply
    10,766.40x = 14,854.40 × 6,574.40
  4. Step 4: Simplify right side
    10,766.40x = 97,658,767.36
  5. Step 5: Solve for x
    x = 97,658,767.36/10,766.40
  6. Step 6: Final answer
    x = 9,070.70

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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.