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Finding the Fourth Proportional to 10,624.16, 15,855.88 and 10,347.68

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Solution

The fourth proportional to 10,624.16, 15,855.88 and 10,347.68 is: 15,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.16 : 15,855.88 = 10,347.68 : x
  2. Step 2: Convert to fraction form
    10,624.16/15,855.88 = 10,347.68/x
  3. Step 3: Cross multiply
    10,624.16x = 15,855.88 × 10,347.68
  4. Step 4: Simplify right side
    10,624.16x = 164,071,572.36
  5. Step 5: Solve for x
    x = 164,071,572.36/10,624.16
  6. Step 6: Final answer
    x = 15,443.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.