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Finding the Fourth Proportional to 10,482.40, 15,707.76 and 7,013.44

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Solution

The fourth proportional to 10,482.40, 15,707.76 and 7,013.44 is: 10,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.40 : 15,707.76 = 7,013.44 : x
  2. Step 2: Convert to fraction form
    10,482.40/15,707.76 = 7,013.44/x
  3. Step 3: Cross multiply
    10,482.40x = 15,707.76 × 7,013.44
  4. Step 4: Simplify right side
    10,482.40x = 110,165,432.29
  5. Step 5: Solve for x
    x = 110,165,432.29/10,482.40
  6. Step 6: Final answer
    x = 10,509.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.