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Finding the Fourth Proportional to 7,547.61, 10,415.74 and 4,716.63

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Solution

The fourth proportional to 7,547.61, 10,415.74 and 4,716.63 is: 6,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.61 : 10,415.74 = 4,716.63 : x
  2. Step 2: Convert to fraction form
    7,547.61/10,415.74 = 4,716.63/x
  3. Step 3: Cross multiply
    7,547.61x = 10,415.74 × 4,716.63
  4. Step 4: Simplify right side
    7,547.61x = 49,127,226.03
  5. Step 5: Solve for x
    x = 49,127,226.03/7,547.61
  6. Step 6: Final answer
    x = 6,508.98

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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.