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Finding the Fourth Proportional to 10,482.40, 14,470.41 and 7,125.22

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Solution

The fourth proportional to 10,482.40, 14,470.41 and 7,125.22 is: 9,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.40 : 14,470.41 = 7,125.22 : x
  2. Step 2: Convert to fraction form
    10,482.40/14,470.41 = 7,125.22/x
  3. Step 3: Cross multiply
    10,482.40x = 14,470.41 × 7,125.22
  4. Step 4: Simplify right side
    10,482.40x = 103,104,854.74
  5. Step 5: Solve for x
    x = 103,104,854.74/10,482.40
  6. Step 6: Final answer
    x = 9,836.00

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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.